Step 1: Understanding Spanish colonial governance.
During the Spanish colonial era, Spain set up administrative bodies to govern and regulate its American territories.
Step 2: Role of “Consejo de Indias.”
The Consejo de Indias (Council of the Indies) was the supreme authority in all matters relating to Spain’s colonies in the Americas — legislative, judicial, and administrative.
Step 3: Analysis of options.
- (1) El Virreinato de la Nueva España: A vice-royalty, a territorial unit, not the top governing body.
- (2) La Casa India: Less known; not the supreme control body.
- (3) La Real Audiencia: High court in colonial territories, but subordinate to higher authority.
- (4) El Consejo de Indias: Correct — the supreme body overseeing administration of Spanish America.
Step 4: Conclusion.
Hence, the supreme body was El Consejo de Indias.