Finding the Fourth Proportional to 3,826.56, 5,280.72 and 2,255.52

Step by Step Solution

1. Step 1: Write the proportion equation
   3,826.56 : 5,280.72 = 2,255.52 : x
2. Step 2: Convert to fraction form
   3,826.56/5,280.72 = 2,255.52/x
3. Step 3: Cross multiply
   3,826.56x = 5,280.72 × 2,255.52
4. Step 4: Simplify right side
   3,826.56x = 11,910,769.57
5. Step 5: Solve for x
   x = 11,910,769.57/3,826.56
6. Step 6: Final answer
   x = 3,112.66