Finding the Fourth Proportional to 10,401.15, 14,353.50 and 5,685.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401.15 : 14,353.50 = 5,685.42 : x
2. Step 2: Convert to fraction form
   10,401.15/14,353.50 = 5,685.42/x
3. Step 3: Cross multiply
   10,401.15x = 14,353.50 × 5,685.42
4. Step 4: Simplify right side
   10,401.15x = 81,605,675.97
5. Step 5: Solve for x
   x = 81,605,675.97/10,401.15
6. Step 6: Final answer
   x = 7,845.83