JQuery :: PHP/MySQL - Reorder List, Save Results?

This is a combination of jQuery and a PHP problem so I'm not 100% certain where to post it. I am working on method to reoder a list that comes from a database. When the lists is displayed, it will be ordered by a "sort" column. The user can drag/drop the list to change the order, and I want the order to update the sort values in the database.I found a script that provides a decent starting point, but I am not getting the results I want.

1: It is able to reorder the columns, and save the results which is good.

2: It is saving the results as "0,1,2,3" rather than reordering the numbers from the "sort" column. (< this is what I need fixed)

EG: Name > Sort
Apple3
Orange 5
Pear 13
Kiwi 105

If I reorder these in the reverse order using the script, I end up with the following in the database.
Apple 3
Orange 2
Pear 1
Kiwi 0

Yet what I want is,
Apple 105
Orange 13
Pear 5
Kiwi 3

how I can get it to work with the existing "sort" values, rather than serializing and starting at 0. Here are the script files I am currently working with for testing.

DATABASE

Code:
CREATE TABLE `menu` (
`id` int(11) NOT NULL auto_increment,[code]....