Finding the Fourth Proportional to 9,714.64, 14,571.34 and 3,140.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,714.64 : 14,571.34 = 3,140.27 : x
2. Step 2: Convert to fraction form
   9,714.64/14,571.34 = 3,140.27/x
3. Step 3: Cross multiply
   9,714.64x = 14,571.34 × 3,140.27
4. Step 4: Simplify right side
   9,714.64x = 45,757,941.86
5. Step 5: Solve for x
   x = 45,757,941.86/9,714.64
6. Step 6: Final answer
   x = 4,710.20