Finding the Fourth Proportional to 9,714.31, 14,578.55 and 3,872.59

Step by Step Solution

1. Step 1: Write the proportion equation
   9,714.31 : 14,578.55 = 3,872.59 : x
2. Step 2: Convert to fraction form
   9,714.31/14,578.55 = 3,872.59/x
3. Step 3: Cross multiply
   9,714.31x = 14,578.55 × 3,872.59
4. Step 4: Simplify right side
   9,714.31x = 56,456,654.69
5. Step 5: Solve for x
   x = 56,456,654.69/9,714.31
6. Step 6: Final answer
   x = 5,811.70