Finding the Fourth Proportional to 10,499.12, 14,493.24 and 7,509.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,499.12 : 14,493.24 = 7,509.76 : x
2. Step 2: Convert to fraction form
   10,499.12/14,493.24 = 7,509.76/x
3. Step 3: Cross multiply
   10,499.12x = 14,493.24 × 7,509.76
4. Step 4: Simplify right side
   10,499.12x = 108,840,754.02
5. Step 5: Solve for x
   x = 108,840,754.02/10,499.12
6. Step 6: Final answer
   x = 10,366.65