Finding the Fourth Proportional to 2,593.25, 3,578.73 and 1,414.35

Step by Step Solution

1. Step 1: Write the proportion equation
   2,593.25 : 3,578.73 = 1,414.35 : x
2. Step 2: Convert to fraction form
   2,593.25/3,578.73 = 1,414.35/x
3. Step 3: Cross multiply
   2,593.25x = 3,578.73 × 1,414.35
4. Step 4: Simplify right side
   2,593.25x = 5,061,569.70
5. Step 5: Solve for x
   x = 5,061,569.70/2,593.25
6. Step 6: Final answer
   x = 1,951.82