No, the sentence does not make sense to me. What is entrusted ? - a person or the company ? If I put a full stop to make your one sentence into two sentences, the second sentence below seems OK but the first sentence is still a mystery. ? Entrusted, we have verified paid-up situation of the registered capital. OK your company applies for establishment registration up to Oct. 27, 2004. More information, please.

So entrusted is acting like an introduction to a formal letter -- Something like Dear Sirs we have confirmed the payment of fees for your company registration for the period up to Oct 27, 2004 Have I totally missed the mark ?

Yes, She means what you wrote.

Wow, that's a bit of a muddle there :) I guess you could try rewriting it like this, but I'm not certain that this conveys the meaning you're trying to convey: Entrusted partners (?), we have verified your payment situation for the registered capital of your company, as applies for the establishment registration up to Oct. 27, 2004