Finding the Fourth Proportional to 2,781.12, 3,834.72 and 2,255.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,781.12 : 3,834.72 = 2,255.52 : x
2. Step 2: Convert to fraction form
   2,781.12/3,834.72 = 2,255.52/x
3. Step 3: Cross multiply
   2,781.12x = 3,834.72 × 2,255.52
4. Step 4: Simplify right side
   2,781.12x = 8,649,287.65
5. Step 5: Solve for x
   x = 8,649,287.65/2,781.12
6. Step 6: Final answer
   x = 3,110.00