Finding the Fourth Proportional to 10,401, 14,353.43 and 5,685.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401 : 14,353.43 = 5,685.27 : x
2. Step 2: Convert to fraction form
   10,401/14,353.43 = 5,685.27/x
3. Step 3: Cross multiply
   10,401x = 14,353.43 × 5,685.27
4. Step 4: Simplify right side
   10,401x = 81,603,124.98
5. Step 5: Solve for x
   x = 81,603,124.98/10,401
6. Step 6: Final answer
   x = 7,845.70