Finding the Fourth Proportional to 2,593.35, 3,578.78 and 1,414.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,593.35 : 3,578.78 = 1,414.40 : x
2. Step 2: Convert to fraction form
   2,593.35/3,578.78 = 1,414.40/x
3. Step 3: Cross multiply
   2,593.35x = 3,578.78 × 1,414.40
4. Step 4: Simplify right side
   2,593.35x = 5,061,812.07
5. Step 5: Solve for x
   x = 5,061,812.07/2,593.35
6. Step 6: Final answer
   x = 1,951.84