Finding the Fourth Proportional to 1,020.59, 1,408.41 and 578.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.59 : 1,408.41 = 578.52 : x
2. Step 2: Convert to fraction form
   1,020.59/1,408.41 = 578.52/x
3. Step 3: Cross multiply
   1,020.59x = 1,408.41 × 578.52
4. Step 4: Simplify right side
   1,020.59x = 814,793.35
5. Step 5: Solve for x
   x = 814,793.35/1,020.59
6. Step 6: Final answer
   x = 798.36