Finding the Fourth Proportional to 1,050.38, 1,449.52 and 584.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,050.38 : 1,449.52 = 584.63 : x
2. Step 2: Convert to fraction form
   1,050.38/1,449.52 = 584.63/x
3. Step 3: Cross multiply
   1,050.38x = 1,449.52 × 584.63
4. Step 4: Simplify right side
   1,050.38x = 847,424.17
5. Step 5: Solve for x
   x = 847,424.17/1,050.38
6. Step 6: Final answer
   x = 806.78