Option 1 -> eloquently means speaking in a fluent, persuasive, and expressive manner that naturally captivates listeners.
Option 2 -> reluctantly means unwillingly or hesitantly, which would not engage or captivate an audience.
Option 3 -> condescendingly means speaking in a patronizing way, which would alienate rather than captivate listeners.
Option 4 -> hastily means speaking in a rushed manner, which typically loses audience engagement.
Hence, Option 1: eloquently -> The sentence requires a positive adverb that explains why the audience was captivated. Eloquent speech is characterized by fluency, persuasiveness, and expressiveness, making it the perfect quality to mesmerize listeners -> correct