Finding the Fourth Proportional to 11,441.52, 15,784.50 and 7,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,441.52 : 15,784.50 = 7,462.50 : x
2. Step 2: Convert to fraction form
   11,441.52/15,784.50 = 7,462.50/x
3. Step 3: Cross multiply
   11,441.52x = 15,784.50 × 7,462.50
4. Step 4: Simplify right side
   11,441.52x = 117,791,800.04
5. Step 5: Solve for x
   x = 117,791,800.04/11,441.52
6. Step 6: Final answer
   x = 10,295.12