Finding the Fourth Proportional to 1,019.98, 1,531.59 and 582.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.98 : 1,531.59 = 582.58 : x
2. Step 2: Convert to fraction form
   1,019.98/1,531.59 = 582.58/x
3. Step 3: Cross multiply
   1,019.98x = 1,531.59 × 582.58
4. Step 4: Simplify right side
   1,019.98x = 892,273.70
5. Step 5: Solve for x
   x = 892,273.70/1,019.98
6. Step 6: Final answer
   x = 874.80