Finding the Fourth Proportional to 10,401.14, 14,353.59 and 5,685.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401.14 : 14,353.59 = 5,685.41 : x
2. Step 2: Convert to fraction form
   10,401.14/14,353.59 = 5,685.41/x
3. Step 3: Cross multiply
   10,401.14x = 14,353.59 × 5,685.41
4. Step 4: Simplify right side
   10,401.14x = 81,606,044.12
5. Step 5: Solve for x
   x = 81,606,044.12/10,401.14
6. Step 6: Final answer
   x = 7,845.87