Currently, there are so many people wishing to participate that depending on the situation, we're fully booked up to a month in advance.

Literal

Currently, participation [object-を] hope people-[plural-方々] [subject-が] very many-[te-reason-くて], situation [according-to-によって] 1-month ahead [until-まで] is-fully-booked-[humble-polite-なっております].

Customer service announcement. ~を希望する ('to hope for, to wish') is a formal verb with an abstract object. 方々 is the polite pluralization of 方 ('people'). なっております is the humble-polite form of なっている — a standard business/hospitality politesse. 満席 ('fully booked'). 先 ('ahead, in the future'). ~によって ('according to, depending on').