WordNet (r) 3.0 (2006):

push forward
    v 1: push one's way; "she barged into the meeting room" [syn:
         barge, thrust ahead, push forward]

Moby Thesaurus II by Grady Ward, 1.0:

29 Moby Thesaurus words for "push forward":
   advance, advantage, boost, conduce to, contribute to, crowd,
   drive on, encourage, expedite, facilitate, favor, forge ahead,
   forward, further, go slow, hasten, inch forward, lend wings to,
   make for, muddle through, press forward, press on, promote, push,
   push on, put forward, quicken, set forward, speed