DataBase BackUp issue in SQLServer

For security reason I always took back up of my database. I took full backup in each month. And differential in each week. I used to save each back up file in different name. I lost my latest full back up file. But I have my latest differential back up file. So when I tried to restore my differential back up with the previous full back up , I am getting an error that

"This differential backup cannot be restored because the database has not been restored to the correct earlier state"

My Scenario

1. Took Full Backup - File is with me


2. Took Differential - File is with me


3. Took Another full - Lost this file


4. Differential file - is with me

So can I restore 4th one with 1st one. With out the 3rd ?

Is there any solution for this scenario? Can I restore it without loosing data?

I am using SQL Server 2008 R2