Finding the Fourth Proportional to 1,004.49, 1,386.14 and 584.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.49 : 1,386.14 = 584.82 : x
2. Step 2: Convert to fraction form
   1,004.49/1,386.14 = 584.82/x
3. Step 3: Cross multiply
   1,004.49x = 1,386.14 × 584.82
4. Step 4: Simplify right side
   1,004.49x = 810,642.39
5. Step 5: Solve for x
   x = 810,642.39/1,004.49
6. Step 6: Final answer
   x = 807.02