How do I set up icalx synchronization with Jelly Bean?

[Guido Golz]

Dear ACC,

I am wondering how to set up my android phone (V 4.31) properly to make its apps (i.e. Business Calendar Pro) synchronize with my ics-calendar hosted on the ical Exchange (icalx.com). While trying to customize synchronziation I am just getting a proprietary choice of the the usual suspects to configure like gcal, facebook, outlook et al. How dow I 'tailor' a synchronization account in a way that it fulfills my very own needs?

Thanks in advance for a helping hand says

Giz.