Finding the Fourth Proportional to 1,565.28, 2,155.68 and 1,442.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,565.28 : 2,155.68 = 1,442.16 : x
2. Step 2: Convert to fraction form
   1,565.28/2,155.68 = 1,442.16/x
3. Step 3: Cross multiply
   1,565.28x = 2,155.68 × 1,442.16
4. Step 4: Simplify right side
   1,565.28x = 3,108,835.47
5. Step 5: Solve for x
   x = 3,108,835.47/1,565.28
6. Step 6: Final answer
   x = 1,986.12