Final answer:
King Louis XIV of France is credited with creating the five ballet positions known today and developing the technique of the turned-out leg.
Step-by-step explanation:
The person credited with creating the five ballet positions known today and developing the technique of the turned-out leg is King Louis XIV of France. He was an avid dancer and played a crucial role in the development of ballet as an art form. Louis XIV founded the Académie Royale de Danse in 1661, which laid the foundation for ballet training and codified the five positions. He also popularized the use of the turned-out leg, which is now a fundamental element of ballet technique.