Finding the Fourth Proportional to 1,025.23, 1,414.82 and 559.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.23 : 1,414.82 = 559.48 : x
2. Step 2: Convert to fraction form
   1,025.23/1,414.82 = 559.48/x
3. Step 3: Cross multiply
   1,025.23x = 1,414.82 × 559.48
4. Step 4: Simplify right side
   1,025.23x = 791,564.56
5. Step 5: Solve for x
   x = 791,564.56/1,025.23
6. Step 6: Final answer
   x = 772.08