The Collaborative International Dictionary of English v.0.48:

finagle \finagle\ v. i. & t.
   to achieve something by means of trickery or devious methods.

   Syn: wangle, manage.
        [WordNet 1.5]

WordNet (r) 3.0 (2006):

finagle
    v 1: achieve something by means of trickery or devious methods
         [syn: wangle, finagle, manage]

Moby Thesaurus II by Grady Ward, 1.0:

81 Moby Thesaurus words for "finagle":
   angle, beat, beguile of, bilk, brew, bunco, burn, cabal, cheat,
   chisel, chouse, chouse out of, cog, cog the dice, collude, complot,
   con, concoct, connive, conspire, contrive, cook up, countermine,
   counterplot, cozen, crib, defraud, diddle, do in, do out of,
   engineer, euchre, finesse, flam, fleece, flimflam, fob, frame,
   frame up, fudge, gerrymander, gouge, gull, gyp, hatch,
   hatch a plot, hatch up, have, hocus, hocus-pocus, intrigue, jockey,
   lay a plot, machinate, maneuver, manipulate, mulct, operate,
   pack the deal, pigeon, play games, plot, practice fraud upon,
   pull strings, rig, rook, scam, scheme, screw, sell gold bricks,
   shave, shortchange, stack the cards, stick, sting, swindle,
   take a dive, thimblerig, throw a fight, victimize, wangle