Step 1: Recall the year directly:
1784 A.D. marks: Founding of the Asiatic Society of Bengal.
Step 2: Provide brief context:
Sir William Jones founded the Asiatic Society of Bengal in Calcutta in 1784 to promote the study of Indian history, culture, languages and antiquities.
Final Answer:
\[ \boxed{\text{Founding of the Asiatic Society of Bengal}} \]