Finding the Fourth Proportional to 2,638, 3,954.41 and 1,468.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,638 : 3,954.41 = 1,468.57 : x
2. Step 2: Convert to fraction form
   2,638/3,954.41 = 1,468.57/x
3. Step 3: Cross multiply
   2,638x = 3,954.41 × 1,468.57
4. Step 4: Simplify right side
   2,638x = 5,807,308.12
5. Step 5: Solve for x
   x = 5,807,308.12/2,638
6. Step 6: Final answer
   x = 2,201.41