Finding the Fourth Proportional to 1,004.33, 1,385.84 and 584.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.33 : 1,385.84 = 584.62 : x
2. Step 2: Convert to fraction form
   1,004.33/1,385.84 = 584.62/x
3. Step 3: Cross multiply
   1,004.33x = 1,385.84 × 584.62
4. Step 4: Simplify right side
   1,004.33x = 810,187.78
5. Step 5: Solve for x
   x = 810,187.78/1,004.33
6. Step 6: Final answer
   x = 806.69