Finding the Fourth Proportional to 10,401.38, 14,353.99 and 5,685.66

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401.38 : 14,353.99 = 5,685.66 : x
2. Step 2: Convert to fraction form
   10,401.38/14,353.99 = 5,685.66/x
3. Step 3: Cross multiply
   10,401.38x = 14,353.99 × 5,685.66
4. Step 4: Simplify right side
   10,401.38x = 81,611,892.57
5. Step 5: Solve for x
   x = 81,611,892.57/10,401.38
6. Step 6: Final answer
   x = 7,846.26