Finding the Fourth Proportional to 7,782.83, 10,736.88 and 5,264.01

Step by Step Solution

1. Step 1: Write the proportion equation
   7,782.83 : 10,736.88 = 5,264.01 : x
2. Step 2: Convert to fraction form
   7,782.83/10,736.88 = 5,264.01/x
3. Step 3: Cross multiply
   7,782.83x = 10,736.88 × 5,264.01
4. Step 4: Simplify right side
   7,782.83x = 56,519,043.69
5. Step 5: Solve for x
   x = 56,519,043.69/7,782.83
6. Step 6: Final answer
   x = 7,262.02