Finding the Fourth Proportional to 2,592.90, 3,578.16 and 1,414.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,592.90 : 3,578.16 = 1,414.02 : x
2. Step 2: Convert to fraction form
   2,592.90/3,578.16 = 1,414.02/x
3. Step 3: Cross multiply
   2,592.90x = 3,578.16 × 1,414.02
4. Step 4: Simplify right side
   2,592.90x = 5,059,589.80
5. Step 5: Solve for x
   x = 5,059,589.80/2,592.90
6. Step 6: Final answer
   x = 1,951.32