How can I read 4 IMAP email accounts using a webmail client?

Hi guys. I know this is not gaming/forum related, but wanted to know if someone can help me out.

So here’s the deal. I have 4 e-mails:

My main one from Hushmail, a second one from Gmail, and two other ones both college-related. All have IMAP access (the guys from Hushmail gave me a trial to use the IMAP access).

I basically wanted to read all the e-mails, from all of the accounts in one place.

The thing is I do not want to use an e-mail client on my computer, because it gets so slow that in the end it is not worth it.

I’ve tried Thunderbird and Postbox, neither is worth it.

So it would be great if I could read everything from the web. A web based e-mail client where I could read everything.

Using Gmail’s feature to add more accounts does not interest me.

Any other options?