Finding the Fourth Proportional to 2,592.96, 3,578.33 and 1,414.01

Step by Step Solution

1. Step 1: Write the proportion equation
   2,592.96 : 3,578.33 = 1,414.01 : x
2. Step 2: Convert to fraction form
   2,592.96/3,578.33 = 1,414.01/x
3. Step 3: Cross multiply
   2,592.96x = 3,578.33 × 1,414.01
4. Step 4: Simplify right side
   2,592.96x = 5,059,778.80
5. Step 5: Solve for x
   x = 5,059,778.80/2,592.96
6. Step 6: Final answer
   x = 1,951.35