Finding the Fourth Proportional to 1,048.25, 1,446.59 and 582.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,048.25 : 1,446.59 = 582.50 : x
2. Step 2: Convert to fraction form
   1,048.25/1,446.59 = 582.50/x
3. Step 3: Cross multiply
   1,048.25x = 1,446.59 × 582.50
4. Step 4: Simplify right side
   1,048.25x = 842,635.76
5. Step 5: Solve for x
   x = 842,635.76/1,048.25
6. Step 6: Final answer
   x = 803.85