Finding the Fourth Proportional to 1,024.82, 1,414.28 and 559.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.82 : 1,414.28 = 559.07 : x
2. Step 2: Convert to fraction form
   1,024.82/1,414.28 = 559.07/x
3. Step 3: Cross multiply
   1,024.82x = 1,414.28 × 559.07
4. Step 4: Simplify right side
   1,024.82x = 790,671.65
5. Step 5: Solve for x
   x = 790,671.65/1,024.82
6. Step 6: Final answer
   x = 771.53