Finding the Fourth Proportional to 4,114.32, 5,674.56 and 3,642.72

Step by Step Solution

1. Step 1: Write the proportion equation
   4,114.32 : 5,674.56 = 3,642.72 : x
2. Step 2: Convert to fraction form
   4,114.32/5,674.56 = 3,642.72/x
3. Step 3: Cross multiply
   4,114.32x = 5,674.56 × 3,642.72
4. Step 4: Simplify right side
   4,114.32x = 20,670,833.20
5. Step 5: Solve for x
   x = 20,670,833.20/4,114.32
6. Step 6: Final answer
   x = 5,024.12