Finding the Fourth Proportional to 1,004.56, 1,386.20 and 584.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.56 : 1,386.20 = 584.96 : x
2. Step 2: Convert to fraction form
   1,004.56/1,386.20 = 584.96/x
3. Step 3: Cross multiply
   1,004.56x = 1,386.20 × 584.96
4. Step 4: Simplify right side
   1,004.56x = 810,871.55
5. Step 5: Solve for x
   x = 810,871.55/1,004.56
6. Step 6: Final answer
   x = 807.19