Finding the Fourth Proportional to 2,593.38, 3,578.61 and 1,414.44

Step by Step Solution

1. Step 1: Write the proportion equation
   2,593.38 : 3,578.61 = 1,414.44 : x
2. Step 2: Convert to fraction form
   2,593.38/3,578.61 = 1,414.44/x
3. Step 3: Cross multiply
   2,593.38x = 3,578.61 × 1,414.44
4. Step 4: Simplify right side
   2,593.38x = 5,061,729.13
5. Step 5: Solve for x
   x = 5,061,729.13/2,593.38
6. Step 6: Final answer
   x = 1,951.79