Finding the Fourth Proportional to 1,004.14, 1,385.72 and 584.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.14 : 1,385.72 = 584.74 : x
2. Step 2: Convert to fraction form
   1,004.14/1,385.72 = 584.74/x
3. Step 3: Cross multiply
   1,004.14x = 1,385.72 × 584.74
4. Step 4: Simplify right side
   1,004.14x = 810,285.91
5. Step 5: Solve for x
   x = 810,285.91/1,004.14
6. Step 6: Final answer
   x = 806.95