Finding the Fourth Proportional to 11,429.48, 15,780.18 and 7,657.52

Step by Step Solution

1. Step 1: Write the proportion equation
   11,429.48 : 15,780.18 = 7,657.52 : x
2. Step 2: Convert to fraction form
   11,429.48/15,780.18 = 7,657.52/x
3. Step 3: Cross multiply
   11,429.48x = 15,780.18 × 7,657.52
4. Step 4: Simplify right side
   11,429.48x = 120,837,043.95
5. Step 5: Solve for x
   x = 120,837,043.95/11,429.48
6. Step 6: Final answer
   x = 10,572.40