Finding the Fourth Proportional to 10,978.41, 15,153.57 and 9,502.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978.41 : 15,153.57 = 9,502.20 : x
2. Step 2: Convert to fraction form
   10,978.41/15,153.57 = 9,502.20/x
3. Step 3: Cross multiply
   10,978.41x = 15,153.57 × 9,502.20
4. Step 4: Simplify right side
   10,978.41x = 143,992,252.85
5. Step 5: Solve for x
   x = 143,992,252.85/10,978.41
6. Step 6: Final answer
   x = 13,115.95