Finding the Fourth Proportional to 2,592.84, 3,578.27 and 1,414.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,592.84 : 3,578.27 = 1,414.02 : x
2. Step 2: Convert to fraction form
   2,592.84/3,578.27 = 1,414.02/x
3. Step 3: Cross multiply
   2,592.84x = 3,578.27 × 1,414.02
4. Step 4: Simplify right side
   2,592.84x = 5,059,738.28
5. Step 5: Solve for x
   x = 5,059,738.28/2,592.84
6. Step 6: Final answer
   x = 1,951.43