Finding the Fourth Proportional to 1,003.84, 1,385.12 and 584.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.84 : 1,385.12 = 584.24 : x
2. Step 2: Convert to fraction form
   1,003.84/1,385.12 = 584.24/x
3. Step 3: Cross multiply
   1,003.84x = 1,385.12 × 584.24
4. Step 4: Simplify right side
   1,003.84x = 809,242.51
5. Step 5: Solve for x
   x = 809,242.51/1,003.84
6. Step 6: Final answer
   x = 806.15