Finding the Fourth Proportional to 12,814.72, 17,684.67 and 7,509.76

Step by Step Solution

1. Step 1: Write the proportion equation
   12,814.72 : 17,684.67 = 7,509.76 : x
2. Step 2: Convert to fraction form
   12,814.72/17,684.67 = 7,509.76/x
3. Step 3: Cross multiply
   12,814.72x = 17,684.67 × 7,509.76
4. Step 4: Simplify right side
   12,814.72x = 132,807,627.38
5. Step 5: Solve for x
   x = 132,807,627.38/12,814.72
6. Step 6: Final answer
   x = 10,363.68