Finding the Fourth Proportional to 2,562.40, 3,843.68 and 1,328.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.40 : 3,843.68 = 1,328.16 : x
2. Step 2: Convert to fraction form
   2,562.40/3,843.68 = 1,328.16/x
3. Step 3: Cross multiply
   2,562.40x = 3,843.68 × 1,328.16
4. Step 4: Simplify right side
   2,562.40x = 5,105,022.03
5. Step 5: Solve for x
   x = 5,105,022.03/2,562.40
6. Step 6: Final answer
   x = 1,992.28