Finding the Fourth Proportional to 2,593.23, 3,578.73 and 1,414.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,593.23 : 3,578.73 = 1,414.32 : x
2. Step 2: Convert to fraction form
   2,593.23/3,578.73 = 1,414.32/x
3. Step 3: Cross multiply
   2,593.23x = 3,578.73 × 1,414.32
4. Step 4: Simplify right side
   2,593.23x = 5,061,469.41
5. Step 5: Solve for x
   x = 5,061,469.41/2,593.23
6. Step 6: Final answer
   x = 1,951.80