Let $x$ be the score on the next test.
The average of the four scores is given by:
$$ \frac{s_1 + s_2 + s_3 + x}{4} = \frac{91 + 78 + 82 + x}{4} $$
We want the average to be 85, so we set the average equal to 85:
$$ \frac{91 + 78 + 82 + x}{4} = 85 $$
Now we solve for $x$:
$$ 91 + 78 + 82 + x = 4 \times 85 $$
$$ 251 + x = 340 $$
$$ x = 340 - 251 $$
$$ x = 89 $$
Therefore, you must score 89 on the next test to average 85.
Now we verify:
$$ \frac{91 + 78 + 82 + 89}{4} = \frac{340}{4} = 85 $$
The average is indeed 85.
Final Answer: The final answer is $\boxed{89}$