Finding the Fourth Proportional to 2,078.78, 2,864.37 and 1,414.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,078.78 : 2,864.37 = 1,414.47 : x
2. Step 2: Convert to fraction form
   2,078.78/2,864.37 = 1,414.47/x
3. Step 3: Cross multiply
   2,078.78x = 2,864.37 × 1,414.47
4. Step 4: Simplify right side
   2,078.78x = 4,051,565.43
5. Step 5: Solve for x
   x = 4,051,565.43/2,078.78
6. Step 6: Final answer
   x = 1,949.01