Finding the Fourth Proportional to 12,849.71, 17,731.62 and 7,813.24

Step by Step Solution

1. Step 1: Write the proportion equation
   12,849.71 : 17,731.62 = 7,813.24 : x
2. Step 2: Convert to fraction form
   12,849.71/17,731.62 = 7,813.24/x
3. Step 3: Cross multiply
   12,849.71x = 17,731.62 × 7,813.24
4. Step 4: Simplify right side
   12,849.71x = 138,541,358.32
5. Step 5: Solve for x
   x = 138,541,358.32/12,849.71
6. Step 6: Final answer
   x = 10,781.68