Finding the Fourth Proportional to 1,025.06, 1,414.53 and 559.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.06 : 1,414.53 = 559.22 : x
2. Step 2: Convert to fraction form
   1,025.06/1,414.53 = 559.22/x
3. Step 3: Cross multiply
   1,025.06x = 1,414.53 × 559.22
4. Step 4: Simplify right side
   1,025.06x = 791,033.47
5. Step 5: Solve for x
   x = 791,033.47/1,025.06
6. Step 6: Final answer
   x = 771.69