The function $$h$$, defined by $$h(t) = 4.217 \tan^{-1} (0.7t - 0.026)$$, models the number of people, in thousands, who have entered a museum $$t$$ hours after it opens, for $$0 \leq t \leq 8$$. According to the model, at what time $$t$$ does the 4000th person enter the museum?