I have read many birth stories of successful VBA3C or more. Discuss your options with your care provider. Most likely you will not be allowed to have Pitocin or an epidural with a VBAC as it may increase the likelihood of uterine rupture. So it would most likely have to be natural VBAC or a repeat cesarean. Repeating a cesarean also carries risk so definitely important to discuss which option would be best for your unique situation!
I googled "vaginal birth after 3 c-sections" and found this article and many other inspiring stories of women who had a vaginal birth after many c-sections. Has some good info in it and is encouraging. Maybe it will help you in some way.The important thing is to find a doctor who will support you because I know most wouldn't even consider it an option, but it is definitely possible!.
http://en.allexperts.com/q/Childbirth-3495/2008/2/vaginal-birth-3-c-1.htm
How long has it been since ur last csection? I had a csection with my daughter and I hope this time (ttc) I can have a natural birth. I've heard if its been a least 3 years since ur last csection that its possible, but, that didn't come from a doctor.
What were the reasons for the c-sections? Complications? I'm sure after 3 c-sections, a doctor wouldn't be so keen on letting you try a vaginal birth, but that shouldn't stop you if this is truly what you want! I would do lots of research and find a doctor or midwife who will support you in your decision and of course go about it as safely as possible. I would at least give it a shot.