This are the exact chords. I personally sorta play with the chords to add rythm 
and beat, but it's up to you.Here u go:

Gm                 Bb              F            C/E
Untouchable like a distant diamond sky 

Gm                 Bb              F            C/E
I'm reaching out and I just can't tell you why 
 
                 Gm                 Bb
I'm caught up in you 
                 F            C/E
I'm caught up in you 

Bb
Untouchable 
        Bb
Burning brighter than the sun 
C/E                               C/E
And when you're close I feel like coming undone 
      
       F
In the middle of the night 
         F
When I'm in this dream 
            C/E
It's like a million little stars 
         C/E
Spelling out your name 
          Gm
You gotta come on, come on 
Gm
Say that we'll be together 
Bb
Come on, come on 
Bb
Little taste of heaven 

Gm                 Bb              F            C/E
It's half full and I won't wait here all day 

Gm                 Bb              F            C/E
I know you're saying that you'll be here anyway 

           Bb 
But you're Untouchable
        Bb
Burning brighter than the sun 
C/E                               C/E
And when you're close I feel like coming undone 
      
       F
In the middle of the night 
         F
When I'm in this dream 
            C/E
It's like a million little stars 
         C/E
Spelling out your name 
          Gm
You gotta come on, come on 
Gm
Say that we'll be together 
Bb
Come on, come on 
Bb
Little taste of heaven 
Oh 

       F
In the middle of the night 
         F
When I'm in this dream 
            C/E
It's like a million little stars 
         C/E
Spelling out your name 
          Gm
You gotta come on, come on 
Gm
Say that we'll be together 
Bb
Come on, come on 
Bb
Little taste of heaven 

Gm Bb F C/E

                 Gm
I'm caught up in you 
Bb  F  C/E
Oh, oh, oh 

           Bb 
But you're Untouchable
        Bb
Burning brighter than the sun 
C/E                               C/E
And when you're close I feel like coming undone 
      
       F
In the middle of the night 
         F
When I'm in this dream 
            C/E
It's like a million little stars 
         C/E
Spelling out your name 
          Gm
You gotta come on, come on 
Gm
Say that we'll be together 
Bb
Come on, come on 
Bb
Oh oh oh

   F
In the middle of the night 
         F
When I'm in this dream 
            C/E
It's like a million little stars 
         C/E
Spelling out your name 
          Gm
You gotta come on, come on 
Gm
Oh Say that we'll be together 
Bb
Come on, come on 
C         F
Wa oh oh oh
       C (hold)
Like a million little stars
                 Gm (hold)
spellin out your name
                 Bb C (hold)
spellin out your na-me oh