Finding the Fourth Proportional to 6,781.05, 10,132.71 and 5,169.29

Step by Step Solution

1. Step 1: Write the proportion equation
   6,781.05 : 10,132.71 = 5,169.29 : x
2. Step 2: Convert to fraction form
   6,781.05/10,132.71 = 5,169.29/x
3. Step 3: Cross multiply
   6,781.05x = 10,132.71 × 5,169.29
4. Step 4: Simplify right side
   6,781.05x = 52,378,916.48
5. Step 5: Solve for x
   x = 52,378,916.48/6,781.05
6. Step 6: Final answer
   x = 7,724.31