Finding the Fourth Proportional to 12,814.30, 17,683.68 and 7,149.52

Step by Step Solution

1. Step 1: Write the proportion equation
   12,814.30 : 17,683.68 = 7,149.52 : x
2. Step 2: Convert to fraction form
   12,814.30/17,683.68 = 7,149.52/x
3. Step 3: Cross multiply
   12,814.30x = 17,683.68 × 7,149.52
4. Step 4: Simplify right side
   12,814.30x = 126,429,823.83
5. Step 5: Solve for x
   x = 126,429,823.83/12,814.30
6. Step 6: Final answer
   x = 9,866.31