Finding the Fourth Proportional to 10,401.43, 14,353.95 and 5,685.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401.43 : 14,353.95 = 5,685.71 : x
2. Step 2: Convert to fraction form
   10,401.43/14,353.95 = 5,685.71/x
3. Step 3: Cross multiply
   10,401.43x = 14,353.95 × 5,685.71
4. Step 4: Simplify right side
   10,401.43x = 81,612,397.05
5. Step 5: Solve for x
   x = 81,612,397.05/10,401.43
6. Step 6: Final answer
   x = 7,846.27