Who predicted the exist of electromagnetic wave and who proved it?

Answer 1

James Clerk Maxwell first theoretically predicted the existence of electromagnetic waves, however David Edward Hughes is partially credited as he made the first successful radio transmission.

Heinrich Hertz is the man who actually proved Maxwell's theory of the existence of electromagnetic waves.

Answer 2

James Clerk Maxwell predicted the existence of electromagnetic waves in the 19th century through his equations, known as Maxwell's equations. Heinrich Hertz experimentally proved the existence of these waves in the late 19th century by generating and detecting them in a laboratory setting.