Finding the Fourth Proportional to 2,565.60, 3,849.24 and 1,105.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.60 : 3,849.24 = 1,105.20 : x
2. Step 2: Convert to fraction form
   2,565.60/3,849.24 = 1,105.20/x
3. Step 3: Cross multiply
   2,565.60x = 3,849.24 × 1,105.20
4. Step 4: Simplify right side
   2,565.60x = 4,254,180.05
5. Step 5: Solve for x
   x = 4,254,180.05/2,565.60
6. Step 6: Final answer
   x = 1,658.16