Finding the Fourth Proportional to 12,781.10, 19,147.89 and 6,942.62

Step by Step Solution

1. Step 1: Write the proportion equation
   12,781.10 : 19,147.89 = 6,942.62 : x
2. Step 2: Convert to fraction form
   12,781.10/19,147.89 = 6,942.62/x
3. Step 3: Cross multiply
   12,781.10x = 19,147.89 × 6,942.62
4. Step 4: Simplify right side
   12,781.10x = 132,936,524.07
5. Step 5: Solve for x
   x = 132,936,524.07/12,781.10
6. Step 6: Final answer
   x = 10,401.02