Finding the Fourth Proportional to 1,004.10, 1,385.58 and 584.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.10 : 1,385.58 = 584.52 : x
2. Step 2: Convert to fraction form
   1,004.10/1,385.58 = 584.52/x
3. Step 3: Cross multiply
   1,004.10x = 1,385.58 × 584.52
4. Step 4: Simplify right side
   1,004.10x = 809,899.22
5. Step 5: Solve for x
   x = 809,899.22/1,004.10
6. Step 6: Final answer
   x = 806.59