Looking to save some face after falling 3-0 behind in the five-match series, the tourists were looking at an embarrassingly low score when they were reduced to 22 for four in the 11th over.
However, Pollard took up the challenge with aplomb and his unbeaten 109 helped West Indies post a more respectable total. Mitchell Johnson and Ben Cutting did most of the damage with the ball, taking three wickets each.
The Windies won the toss and elected to bat, but that decision seemed to have backfired when Johnson Charles (nought), Kieran Powell (nine), Darren Bravo (four) and Dwayne Bravo (three) all fell cheaply.
That brought Pollard to the crease and he soon began to knock off the runs, although could do little to stop wickets falling at the other end.
The removals of Narsingh Deonarine (10) and Devon Thomas (seven) took the score to 55 for six as Australia strengthened their grip on the contest.
A seventh-wicket stand of 43 between Pollard and captain Darren Sammy (25) finally brought some respite to the tourists' innings, before the latter fell to Cutting.
However, Pollard continued to steer things and further stands with Andre Russell (18) and Sunil Narine (23) gave West Indies a much stronger total to defend.
Pollard was eventually the last man standing following a knock containing 11 fours and two sixes.