Next stop Rugby Park. Let's hope for an equally exciting fifth-round replay tomorrow night, when Kilmarnock host Aberdeen for the right to visit tonight's victors, St Mirren.
Join us for the build-up, live commentary and post-match reaction here on the BBC Sport website and on BBC Radio Scotland. Meanwhile, here's a reminder of what the Scottish Cup quarter-finals look like after that breathtaking tussle at Fir Park.
Friday, 28 February: Hibernian v Inverness Caledonian Thistle - live on BBC Scotland
Saturday, 29 February: Heart of Midlothian v Rangers; St Mirren v Aberdeen/Kilmarnock - live on BBC Scotland
Sunday, 1 March: St Johnstone v Celtic