Finding the Fourth Proportional to 12,781.50, 17,638.47 and 7,192.62

Step by Step Solution

1. Step 1: Write the proportion equation
   12,781.50 : 17,638.47 = 7,192.62 : x
2. Step 2: Convert to fraction form
   12,781.50/17,638.47 = 7,192.62/x
3. Step 3: Cross multiply
   12,781.50x = 17,638.47 × 7,192.62
4. Step 4: Simplify right side
   12,781.50x = 126,866,812.09
5. Step 5: Solve for x
   x = 126,866,812.09/12,781.50
6. Step 6: Final answer
   x = 9,925.82