Finding the Fourth Proportional to 1,050.25, 1,449.39 and 584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,050.25 : 1,449.39 = 584.50 : x
2. Step 2: Convert to fraction form
   1,050.25/1,449.39 = 584.50/x
3. Step 3: Cross multiply
   1,050.25x = 1,449.39 × 584.50
4. Step 4: Simplify right side
   1,050.25x = 847,168.46
5. Step 5: Solve for x
   x = 847,168.46/1,050.25
6. Step 6: Final answer
   x = 806.64