Finding the Fourth Proportional to 2,565.16, 3,540 and 1,557.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.16 : 3,540 = 1,557.52 : x
2. Step 2: Convert to fraction form
   2,565.16/3,540 = 1,557.52/x
3. Step 3: Cross multiply
   2,565.16x = 3,540 × 1,557.52
4. Step 4: Simplify right side
   2,565.16x = 5,513,620.80
5. Step 5: Solve for x
   x = 5,513,620.80/2,565.16
6. Step 6: Final answer
   x = 2,149.43