Finding the Fourth Proportional to 1,004.50, 1,386.15 and 584.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.50 : 1,386.15 = 584.78 : x
2. Step 2: Convert to fraction form
   1,004.50/1,386.15 = 584.78/x
3. Step 3: Cross multiply
   1,004.50x = 1,386.15 × 584.78
4. Step 4: Simplify right side
   1,004.50x = 810,592.80
5. Step 5: Solve for x
   x = 810,592.80/1,004.50
6. Step 6: Final answer
   x = 806.96