Finding the Fourth Proportional to 10,401.34, 14,353.86 and 5,685.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401.34 : 14,353.86 = 5,685.62 : x
2. Step 2: Convert to fraction form
   10,401.34/14,353.86 = 5,685.62/x
3. Step 3: Cross multiply
   10,401.34x = 14,353.86 × 5,685.62
4. Step 4: Simplify right side
   10,401.34x = 81,610,593.49
5. Step 5: Solve for x
   x = 81,610,593.49/10,401.34
6. Step 6: Final answer
   x = 7,846.16