Finding the Fourth Proportional to 12,814.52, 17,684.12 and 7,149.62

Step by Step Solution

1. Step 1: Write the proportion equation
   12,814.52 : 17,684.12 = 7,149.62 : x
2. Step 2: Convert to fraction form
   12,814.52/17,684.12 = 7,149.62/x
3. Step 3: Cross multiply
   12,814.52x = 17,684.12 × 7,149.62
4. Step 4: Simplify right side
   12,814.52x = 126,434,738.03
5. Step 5: Solve for x
   x = 126,434,738.03/12,814.52
6. Step 6: Final answer
   x = 9,866.52