Finding the Fourth Proportional to 2,255.83, 3,381.78 and 1,085.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,255.83 : 3,381.78 = 1,085.24 : x
2. Step 2: Convert to fraction form
   2,255.83/3,381.78 = 1,085.24/x
3. Step 3: Cross multiply
   2,255.83x = 3,381.78 × 1,085.24
4. Step 4: Simplify right side
   2,255.83x = 3,670,042.93
5. Step 5: Solve for x
   x = 3,670,042.93/2,255.83
6. Step 6: Final answer
   x = 1,626.92