Sean Clare's fine finish ensures that the Scottish Cup fourth-round weekend comes to a close with Hearts progressing to the next stage.
There, they will face a rematch with junior giant killers Auchinleck Talbot.
Holders Celtic host St Johnstone, but two ties await replays and a rearranged game before the full draw takes shape.
It's been a busy and thrilling weekend of cup football, but it's back to a full card of Premiership games on Wednesday.
Join us then.
Scottish Cup fifth-round draw:
Aberdeen or Stenhousemuir v Dundee or Queen of the South
Celtic v St Johnstone
East Fife v Partick Thistle
Heart of Midlothian v Auchinleck Talbot
Hibernian v Raith Rovers
Kilmarnock v Cowdenbeath or Rangers
Ross County v Inverness Caledonian Thistle
St Mirren v Dundee United
Ties to be played 9/10 February