Finding the Fourth Proportional to 2,593.50, 3,578.91 and 1,414.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,593.50 : 3,578.91 = 1,414.56 : x
2. Step 2: Convert to fraction form
   2,593.50/3,578.91 = 1,414.56/x
3. Step 3: Cross multiply
   2,593.50x = 3,578.91 × 1,414.56
4. Step 4: Simplify right side
   2,593.50x = 5,062,582.93
5. Step 5: Solve for x
   x = 5,062,582.93/2,593.50
6. Step 6: Final answer
   x = 1,952.03