Explanation:

- Vajapeya: A ritual involving the soma sacrifice, performed by kings as a step to attain supremacy and power.

- Rajasuya: A consecration ceremony performed by a king to establish his sovereignty by receiving homage from other kings and nobles.

- Ashvamedha: A horse sacrifice ritual where a horse is allowed to roam freely for a year, and the territories it crosses are claimed by the king performing the ritual.

- Muvendavelan: Not a type of sacrifice in ancient India. The term is not associated with rituals related to kingship or sacrifices.

- Correct Answer: Option 4 - Muvendavelan