Final answer:
According to John 4:46, the son of a royal official lay sick at Capernaum. Jesus heals the son from a distance by speaking a word.
Step-by-step explanation:
According to the Gospel of John, the son who lay sick at Capernaum is not explicitly mentioned by name.
However, it is revealed in verse 46 that the son in question is the child of a royal official.
Jesus heals the son from a distance by speaking a word, demonstrating his power and authority over sickness and disease.