The phrase "fixed the date" is grammatically correct and can be used in written English.
It means to arrange or set a specific day or time for an event or activity. It is often used in formal or legal contexts. Example: The judge fixed the date for the trial to begin on July 15th.
Mr. Dion said he had pressed the prime minister to explain why he was breaking the spirit of the legislation that fixed the date of the next election.
She said she fixed the date of its composition to 1943 in her book, "The Serenity Prayer: Faith and Politics in Times of Peace and War W. W. Nortonon, 2003), because she had relied on her parents' recollections.
His Le LXX settimane di Daniele e le date Messianiche (1951; "The Seventy Weeks of Daniel and the Messianic Date") fixed the date of Jesus Christ's crucifixion as April 7, ad 30.
In an intriguing comment that suggests the pope may have anticipated his resignation or incapacity, the archbishop noted: "When we fixed the date for 2013, Benedict XVI said 'the pope will go to World Youth Day, whether it is me or my successor'.
Although popular voting had not been adopted in all states (South Carolina still chose its electors by state legislature), the 1848 election was the first in which all states voted on the same day, owing to federal legislation passed three years earlier that fixed the date of presidential elections in an attempt to deter voter fraud.
UPDATE – We've fixed the dates to make them slightly more amenable for folks who are on vacation.
"Uncle Andy's" is about one of these visits, and Warhola fixes the date as August 1962.
How is it that historians can fix the date of the Battle of the Boyne with such precision?
The timing of the wreck of the excursion steamer General Slocum on the East River fixes the date of the events chronicled in James Joyce's "Ulysses".
In both kidnappings, the victims were shackled at the ankle, and photographs of the victims were taken with a daily newspaper in the frame to fix the date.
