Congratulations,

SugarCRM v4.5.1 could be successfuly installed on Godaddy's shared hosting.
There are many posts at both Sugar's and Godaddy's forums indictating the existing incompatibility between them. But now it is possible with following assumptions:
1) switch to PHP5 using .htaccess
2) make MySQL 5 database
3) Upload and install SugarCRM

PS: IMAP functions are still unavailble at godaddy so some SugarCRM functionality will not work.
PPS: Don't hesitate to ask if you need help to install Sugar or any other software.