Finding the Fourth Proportional to 2,593.28, 3,578.82 and 1,414.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,593.28 : 3,578.82 = 1,414.38 : x
2. Step 2: Convert to fraction form
   2,593.28/3,578.82 = 1,414.38/x
3. Step 3: Cross multiply
   2,593.28x = 3,578.82 × 1,414.38
4. Step 4: Simplify right side
   2,593.28x = 5,061,811.43
5. Step 5: Solve for x
   x = 5,061,811.43/2,593.28
6. Step 6: Final answer
   x = 1,951.90