Here is the item again:
As Alex navigated the narrow row of chairs. (A) His heavy book bag bumped the large soda perched on Teresa's desk, (B) sending a shower of diet cola into the girl's lap, (C) soaking her jeans.

You correctly realized that the period after chairs created a fragment. As Alex navigated the narrow row of chairs is a subordinate clause, which cannot stand alone as a complete sentence.

To fix the problem, you chose to do this:

As Alex navigated the narrow row of chairs, his heavy book bag bumped the large soda perched on Teresa's desk, sending a shower of diet cola into the girl's lap, soaking her jeans.

You have correctly employed Punctuation Rule 2:

Subordinate Clause + , + Main Clause.

Good answer!

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