Final answer:
The English king at the time of the Battle of Flodden Field in 1513, where the last monarch to die in battle was killed, was Henry VIII. None of the provided answers directly mention James IV of Scotland, who was the actual monarch killed, but Henry VIII fits the timeframe.
Step-by-step explanation:
The monarch who was last to die in battle and killed at the 1513 Battle of Flodden Field by the forces of the English king was King James IV of Scotland, not any of the options given. However, it was Henry VIII who was the English king during the time of that battle. None of the options listed (Richard III, Henry VIII, Edward IV, Henry VII) directly answer the question as detailed, since the question seems to contain a mix-up between English and Scottish monarchs. However, for the context provided, the English king associated with the time period would be Henry VIII.
Henry VIII was known for breaking away from the Catholic Church and establishing the Church of England for wanting an annulment of his marriage to Catherine of Aragon to marry Anne Boleyn, though the English king during the time of Flodden Field who defeated James IV of Scotland was indeed Henry VIII.