Don't know the chord names but try 9x999x and 7x777x for chords 2 and 3 respectively.

Pretty sure chord 4 is 9 x 9 10 9 x. Not sure if that's an Em6 or not and chord 1 is definitely an f#m7.
Last edited by mjones1992 at Feb 7, 2014,
For anyone following this. There was another version on youtube by Will Heard with more of a Jazz voicing. Here are the chords:

2x222x (F#m7) [F sharp Minor Seventh]
5x567x (A13) [A Thirteenth or A7 with added Thirteenth]
x5767x (Dmaj7) [D Major Seventh]
x4345x (Db7#9) [D Flat Dominant Seventh, sharp Nine]