Finding the Fourth Proportional to 3,827.72, 5,282.31 and 2,255.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,827.72 : 5,282.31 = 2,255.82 : x
2. Step 2: Convert to fraction form
   3,827.72/5,282.31 = 2,255.82/x
3. Step 3: Cross multiply
   3,827.72x = 5,282.31 × 2,255.82
4. Step 4: Simplify right side
   3,827.72x = 11,915,940.54
5. Step 5: Solve for x
   x = 11,915,940.54/3,827.72
6. Step 6: Final answer
   x = 3,113.06