Finding the Fourth Proportional to 3,936.56, 5,432.00 and 2,257.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,936.56 : 5,432.00 = 2,257.50 : x
2. Step 2: Convert to fraction form
   3,936.56/5,432.00 = 2,257.50/x
3. Step 3: Cross multiply
   3,936.56x = 5,432.00 × 2,257.50
4. Step 4: Simplify right side
   3,936.56x = 12,262,728.71
5. Step 5: Solve for x
   x = 12,262,728.71/3,936.56
6. Step 6: Final answer
   x = 3,115.09