Did I make a huge mistake by shoving on this guy 3 handed with a 4bb stack left?

Full Tilt No-Limit Hold'em, 3.3 Tournament, 2500/5000 Blinds 600 Ante (3
handed) - Full-Tilt Converter Tool from FlopTurnRiver.com

Hero (BB) (t109901)
Button (t138156)
SB (t21943)

Hero's M: 11.82

Preflop: Hero is BB with 7, 7
Button bets t13550, 1 fold, Hero raises to t109301 (All-In), Button calls t95751

Flop: (t222902) A, A, 4 (2 players, 1 all-in)

Turn: (t222902) J (2 players, 1 all-in)

River: (t222902) J (2 players, 1 all-in)

Total pot: t222902

Results:
Button had Q, A (full house, Aces over Jacks).
Hero had 7, 7 (two pair, Aces and Jacks).
Outcome: Button won t222902