There are at least two ways.
1) Back up your iPad 1. Best to do an encrypted backup (it will ask for a password for the backup, so don't forget it) so all of your passwords and settings are saved in the backup. Then, set up your iPad 4...and when iTunes asks, tell it to restore from backup. Then select the back up you made of your iPad 1. Be sure to use the same Apple ID on both.
2) Step up your iPad 4 as new. Give it your Apple ID. Then, open up the App Store, got to Purchased, and download the apps you want. You will also have to redo all your settings and enter in all of your passwords, etc, but this can be worth doing on a new device. You get the freshest install and you can set things up anew. More work.
Remember, Apple remembers all of your purchases, so you can always get your stuff back. You don't really need to think in terms of transferring from iPad 1 to iPad 4, just think redownloading your stuff from Apple. You can do both....