4. (8 points) There is a magical tree with 60 fruits on it. On the first day, 1 fruit will fall. Starting from the second day, the number of fruits that fall each day is 1 more than the previous day. However, if the number of fruits on the tree is less than the number that should fall on a certain day, then on that day it will start over by dropping 1 fruit, and continue according to the original rule. So, on the $\qquad$th day, all the fruits on the tree will be gone.
【Solution】Solution: According to the problem, we know:
On the first day, 1 fruit will fall, starting from the second day, 2 fruits will fall, $\cdots$, starting from the $n$-th day, $n$ fruits will fall, until there are not enough $n+1$ fruits left, then it will start over from 1 fruit falling.

Since $1+2+3+4+5+6+7+8+9+10=55$.
$60-55=5$, so the falling pattern for 5 fruits will be 1, 2, 1, 1, totaling 4 days.
The total number of days is $10+4=14$ (days).
Therefore, the answer is: 14