Finding the Fourth Proportional to 1,009.72, 1,392.92 and 584.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.72 : 1,392.92 = 584.31 : x
2. Step 2: Convert to fraction form
   1,009.72/1,392.92 = 584.31/x
3. Step 3: Cross multiply
   1,009.72x = 1,392.92 × 584.31
4. Step 4: Simplify right side
   1,009.72x = 813,903.22
5. Step 5: Solve for x
   x = 813,903.22/1,009.72
6. Step 6: Final answer
   x = 806.07