Finding the Fourth Proportional to 1,020.52, 1,408.32 and 578.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.52 : 1,408.32 = 578.38 : x
2. Step 2: Convert to fraction form
   1,020.52/1,408.32 = 578.38/x
3. Step 3: Cross multiply
   1,020.52x = 1,408.32 × 578.38
4. Step 4: Simplify right side
   1,020.52x = 814,544.12
5. Step 5: Solve for x
   x = 814,544.12/1,020.52
6. Step 6: Final answer
   x = 798.17