Finding the Fourth Proportional to 2,565.77, 3,849.35 and 1,085.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.77 : 3,849.35 = 1,085.15 : x
2. Step 2: Convert to fraction form
   2,565.77/3,849.35 = 1,085.15/x
3. Step 3: Cross multiply
   2,565.77x = 3,849.35 × 1,085.15
4. Step 4: Simplify right side
   2,565.77x = 4,177,097.48
5. Step 5: Solve for x
   x = 4,177,097.48/2,565.77
6. Step 6: Final answer
   x = 1,628.01