Finding the Fourth Proportional to 1,025.09, 1,414.57 and 559.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.09 : 1,414.57 = 559.34 : x
2. Step 2: Convert to fraction form
   1,025.09/1,414.57 = 559.34/x
3. Step 3: Cross multiply
   1,025.09x = 1,414.57 × 559.34
4. Step 4: Simplify right side
   1,025.09x = 791,225.58
5. Step 5: Solve for x
   x = 791,225.58/1,025.09
6. Step 6: Final answer
   x = 771.86