Finding the Fourth Proportional to 2,565.77, 3,850.38 and 1,105.07

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.77 : 3,850.38 = 1,105.07 : x
2. Step 2: Convert to fraction form
   2,565.77/3,850.38 = 1,105.07/x
3. Step 3: Cross multiply
   2,565.77x = 3,850.38 × 1,105.07
4. Step 4: Simplify right side
   2,565.77x = 4,254,920.17
5. Step 5: Solve for x
   x = 4,254,920.17/2,565.77
6. Step 6: Final answer
   x = 1,658.34