Finding the Fourth Proportional to 2,938.56, 4,411.20 and 2,456.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,938.56 : 4,411.20 = 2,456.64 : x
2. Step 2: Convert to fraction form
   2,938.56/4,411.20 = 2,456.64/x
3. Step 3: Cross multiply
   2,938.56x = 4,411.20 × 2,456.64
4. Step 4: Simplify right side
   2,938.56x = 10,836,730.37
5. Step 5: Solve for x
   x = 10,836,730.37/2,938.56
6. Step 6: Final answer
   x = 3,687.77