Finding the Fourth Proportional to 11,524.50, 15,899.72 and 7,547.82

Step by Step Solution

1. Step 1: Write the proportion equation
   11,524.50 : 15,899.72 = 7,547.82 : x
2. Step 2: Convert to fraction form
   11,524.50/15,899.72 = 7,547.82/x
3. Step 3: Cross multiply
   11,524.50x = 15,899.72 × 7,547.82
4. Step 4: Simplify right side
   11,524.50x = 120,008,224.61
5. Step 5: Solve for x
   x = 120,008,224.61/11,524.50
6. Step 6: Final answer
   x = 10,413.31