Problem 13 (1996 AJHSME)

In the fall of $1996$, a total of $800$ students participated in an annual school clean-up day. The organizers of the event expect that in each of the years $1997$, $1998$, and $1999$, participation will increase by $50\%$ over the previous year. The number of participants the organizers will expect in the fall of $1999$ is