Finding the Fourth Proportional to 10,401.56, 14,354.16 and 5,685.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401.56 : 14,354.16 = 5,685.85 : x
2. Step 2: Convert to fraction form
   10,401.56/14,354.16 = 5,685.85/x
3. Step 3: Cross multiply
   10,401.56x = 14,354.16 × 5,685.85
4. Step 4: Simplify right side
   10,401.56x = 81,615,528.87
5. Step 5: Solve for x
   x = 81,615,528.87/10,401.56
6. Step 6: Final answer
   x = 7,846.47