Finding the Fourth Proportional to 9,714.86, 14,571.57 and 3,872.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,714.86 : 14,571.57 = 3,872.78 : x
2. Step 2: Convert to fraction form
   9,714.86/14,571.57 = 3,872.78/x
3. Step 3: Cross multiply
   9,714.86x = 14,571.57 × 3,872.78
4. Step 4: Simplify right side
   9,714.86x = 56,432,484.86
5. Step 5: Solve for x
   x = 56,432,484.86/9,714.86
6. Step 6: Final answer
   x = 5,808.88