Hibbert also had a dozen rebounds and Lance Stephenson chipped in 20 points for Indiana, which evened the series at 2-2 with Game 5 coming up Thursday in Miami.
Indiana led 48-47 at halftime and widened its lead to 81-72 with 9:17 to play in the fourth quarter. The Heat roared back late in the fourth and took a brief 89-86 lead on a 3-point shot by Ray Allen with 5:56 remaining.
Hibbert's layup with 2:42 to play put Indiana on top to stay at 91-89. James' 3-pointer with 1:20 to play cut the Pacers' lead to 94-92 but Miami was shut out the rest of the way.