Scrape out by hand as much congealed gunk as you can and pour in some caustic soda solution - take care - if you use too much caustic soda it will form a hard plug almost like concrete and make your problem much worse. Also take care to keep it away from your skin, eyes and any paintwork - it's used to strip paint from doors etc.
I've used caustic soda on a fatty blocked kitchen sink - ten minutes wait and a sudden glug glug glug.
Good luck...
Peccavi
March 2009