Finding the Fourth Proportional to 1,004.06, 1,385.52 and 584.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.06 : 1,385.52 = 584.42 : x
2. Step 2: Convert to fraction form
   1,004.06/1,385.52 = 584.42/x
3. Step 3: Cross multiply
   1,004.06x = 1,385.52 × 584.42
4. Step 4: Simplify right side
   1,004.06x = 809,725.60
5. Step 5: Solve for x
   x = 809,725.60/1,004.06
6. Step 6: Final answer
   x = 806.45