Finding the Fourth Proportional to 1,020.29, 1,408.04 and 578.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.29 : 1,408.04 = 578.12 : x
2. Step 2: Convert to fraction form
   1,020.29/1,408.04 = 578.12/x
3. Step 3: Cross multiply
   1,020.29x = 1,408.04 × 578.12
4. Step 4: Simplify right side
   1,020.29x = 814,006.15
5. Step 5: Solve for x
   x = 814,006.15/1,020.29
6. Step 6: Final answer
   x = 797.82