Not being able to back up to iCloud can be caused by a corrupt existing backup that needs to be deleted, or by data on your device that is causing the backup to fail. To troubleshoot these, try deleting your last iCloud backup (if you have one) by turning off iCloud Backup in Settings>iCloud>Storage & Backup, then tap Manage Storage, tap your device under Backups, then tap Delete Backup. Then go back and turn iCloud Backup back on and try backing up again.
If it still won't back up, you may have an app or something in your camera roll that is causing the backup to fail. To locate which one, go to Settings>iCloud>Storage & Backup>Manage Storage, tap the name of your device under Backups, under Backup Options tap Show All Apps, then turn them all to Off (including camera roll) and try backing up again. If the backup is successful, then the camera roll and/or one of your apps is causing the backup to fail and you'll have to located by process of elimination. Turn the camera roll On and try backing up again. If it succeeds, turn some of your apps to On and try backing up again. If it succeeds again, turn some more apps to On then try again; repeat this process until it fails. Eventually you'll be able to locate the problem app and exclude it from your backup.