Finding the Fourth Proportional to 2,593.26, 3,578.72 and 1,414.35

Step by Step Solution

1. Step 1: Write the proportion equation
   2,593.26 : 3,578.72 = 1,414.35 : x
2. Step 2: Convert to fraction form
   2,593.26/3,578.72 = 1,414.35/x
3. Step 3: Cross multiply
   2,593.26x = 3,578.72 × 1,414.35
4. Step 4: Simplify right side
   2,593.26x = 5,061,562.63
5. Step 5: Solve for x
   x = 5,061,562.63/2,593.26
6. Step 6: Final answer
   x = 1,951.81