Finding the Fourth Proportional to 10,401.12, 14,353.70 and 5,685.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401.12 : 14,353.70 = 5,685.30 : x
2. Step 2: Convert to fraction form
   10,401.12/14,353.70 = 5,685.30/x
3. Step 3: Cross multiply
   10,401.12x = 14,353.70 × 5,685.30
4. Step 4: Simplify right side
   10,401.12x = 81,605,062.18
5. Step 5: Solve for x
   x = 81,605,062.18/10,401.12
6. Step 6: Final answer
   x = 7,845.80