Finding the Fourth Proportional to 2,638.16, 3,936.72 and 2,288.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,638.16 : 3,936.72 = 2,288.24 : x
2. Step 2: Convert to fraction form
   2,638.16/3,936.72 = 2,288.24/x
3. Step 3: Cross multiply
   2,638.16x = 3,936.72 × 2,288.24
4. Step 4: Simplify right side
   2,638.16x = 9,008,160.17
5. Step 5: Solve for x
   x = 9,008,160.17/2,638.16
6. Step 6: Final answer
   x = 3,414.56