Finding the Fourth Proportional to 7,762.82, 10,708.16 and 5,635.88

Step by Step Solution

1. Step 1: Write the proportion equation
   7,762.82 : 10,708.16 = 5,635.88 : x
2. Step 2: Convert to fraction form
   7,762.82/10,708.16 = 5,635.88/x
3. Step 3: Cross multiply
   7,762.82x = 10,708.16 × 5,635.88
4. Step 4: Simplify right side
   7,762.82x = 60,349,904.78
5. Step 5: Solve for x
   x = 60,349,904.78/7,762.82
6. Step 6: Final answer
   x = 7,774.22