There was no 'runner' representing Ecuador that won a gold medal in the 1996 Summer Olympics. However, there was a 'walker' that won gold for Ecuador. That walker was Jefferson Perez and he won gold in the 20 Km walk in a time of 1:20:07.
This routine (Missing part 1), like the 1991 routine (Missing part 2). is skated to music by a band called Incantation. The first song is Dolencias, the second Sikuriadas. Both songs, as well as the music they skated to in 1991 can be found on the album called Panpipes of the Andes.