Finding the Fourth Proportional to 1,004.24, 1,385.92 and 584.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.24 : 1,385.92 = 584.72 : x
2. Step 2: Convert to fraction form
   1,004.24/1,385.92 = 584.72/x
3. Step 3: Cross multiply
   1,004.24x = 1,385.92 × 584.72
4. Step 4: Simplify right side
   1,004.24x = 810,374.96
5. Step 5: Solve for x
   x = 810,374.96/1,004.24
6. Step 6: Final answer
   x = 806.96