Final answer:
The estimated delivery date using Naegele's Rule for a pregnant client with a last menstrual period of May 4th, 2013, is February 11th, 2014.
Step-by-step explanation:
To estimate a pregnant client's delivery date using Naegele's Rule, you start by calculating the estimated due date based on the client's last menstrual period (LMP). Adding 7 days to the date of the LMP and subtracting 3 months gives you the estimated due date. In this case, the last menstrual period was May 4th, 2013. Adding 7 days to May 4th gives you May 11th. Subtracting 3 months from May gives you February. Therefore, the estimated delivery date using Naegele's Rule is February 11th, 2014.