Finding the Fourth Proportional to 1,003.69, 1,385.10 and 584.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.69 : 1,385.10 = 584.18 : x
2. Step 2: Convert to fraction form
   1,003.69/1,385.10 = 584.18/x
3. Step 3: Cross multiply
   1,003.69x = 1,385.10 × 584.18
4. Step 4: Simplify right side
   1,003.69x = 809,147.72
5. Step 5: Solve for x
   x = 809,147.72/1,003.69
6. Step 6: Final answer
   x = 806.17