Finding the Fourth Proportional to 10,400.86, 14,354.18 and 5,685.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,400.86 : 14,354.18 = 5,685.85 : x
2. Step 2: Convert to fraction form
   10,400.86/14,354.18 = 5,685.85/x
3. Step 3: Cross multiply
   10,400.86x = 14,354.18 × 5,685.85
4. Step 4: Simplify right side
   10,400.86x = 81,615,714.35
5. Step 5: Solve for x
   x = 81,615,714.35/10,400.86
6. Step 6: Final answer
   x = 7,847.02