Prescot was educated at Charterhouse and St Catherine's College, Cambridge, graduating BA in 1724, M.A.in 1727 and B.D. in 1738. He was Fellow of St Catherine's from 1727 to 1741 and its Master from 1741 to his death. He was vice-chancellor of the University of Cambridge from 1744 to 1745. Yates was ordained on 24 September 1727. His first post was as curate at Stapleford, Cambridgeshire. He held livings at Hartland, Coton and Yarmouth; and was a prebendary of Norwich Cathedral.
- "Will of Reverend Kenrick Prescot, Doctor in Divinity, Master of Catherine Hall in the..." The National Archives. Retrieved 2019-03-05.
- "The Gentleman's Magazine, and Historical Chronicle, Volume 49" Sylvanus Urban p470: London; D. Henry; 1779
- "The Letters of Horace Walpole Volume 5" p454 London; Richard Bentley; 1840
- Alumni Cantabrigienses: A Biographical List of All Known Students, Graduates and Holders of Office at the University of Cambridge, from the Earliest Times to 1900, John Venn/John Archibald Venn Cambridge University Press > (10 volumes 1922 to 1953) Part I. 1209–1751 Vol. iii. Kaile – Ryves, (1924. p392
- "Masters of St Catharine's College". St Catharine's College, Cambridge. Retrieved 2019-03-05.
- "History of the Vice-Chancellorship | Vice-Chancellor's Office". v-c.admin.cam.ac.uk. Retrieved 2019-03-05.
- "Canons: Fourth prebend". British History Online. Retrieved 2019-03-05.
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