Finding the Fourth Proportional to 9,525.10, 14,276.61 and 5,632.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,525.10 : 14,276.61 = 5,632.78 : x
2. Step 2: Convert to fraction form
   9,525.10/14,276.61 = 5,632.78/x
3. Step 3: Cross multiply
   9,525.10x = 14,276.61 × 5,632.78
4. Step 4: Simplify right side
   9,525.10x = 80,417,003.28
5. Step 5: Solve for x
   x = 80,417,003.28/9,525.10
6. Step 6: Final answer
   x = 8,442.64