Program will be followed by dinner or shall dinner?

Here's why:

* "Shall dinner" is grammatically incorrect. "Shall" is used to express a suggestion or offer, and it needs a subject (e.g., "Shall we have dinner?").

* "Followed by dinner" is the correct prepositional phrase to indicate that dinner will occur after the program.

Here are some examples of how to use the phrase:

* "The program will be followed by dinner at 7:00 p.m."

* "The evening will consist of a presentation followed by dinner and entertainment."