Next Tuesday, the board will review the proposal.

Literal

Next-week [possessive-の] Tuesday [on-に] board-of-directors [subject-が] that proposal [object-を] examine [ことになっている] (it-is-arranged-that).

~ことになっている marks a scheduled, collaboratively decided arrangement — perfect for corporate scheduling. 役員会 ('board of directors'), 検討する ('examine / consider') are standard business vocabulary.