Finding the Fourth Proportional to 1,004.72, 1,386.28 and 584.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.72 : 1,386.28 = 584.82 : x
2. Step 2: Convert to fraction form
   1,004.72/1,386.28 = 584.82/x
3. Step 3: Cross multiply
   1,004.72x = 1,386.28 × 584.82
4. Step 4: Simplify right side
   1,004.72x = 810,721.35
5. Step 5: Solve for x
   x = 810,721.35/1,004.72
6. Step 6: Final answer
   x = 806.91