Finding the Fourth Proportional to 3,982.71, 5,976.37 and 1,642.28

Step by Step Solution

1. Step 1: Write the proportion equation
   3,982.71 : 5,976.37 = 1,642.28 : x
2. Step 2: Convert to fraction form
   3,982.71/5,976.37 = 1,642.28/x
3. Step 3: Cross multiply
   3,982.71x = 5,976.37 × 1,642.28
4. Step 4: Simplify right side
   3,982.71x = 9,814,872.92
5. Step 5: Solve for x
   x = 9,814,872.92/3,982.71
6. Step 6: Final answer
   x = 2,464.37