Finding the Fourth Proportional to 1,004.98, 1,386.83 and 585.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.98 : 1,386.83 = 585.34 : x
2. Step 2: Convert to fraction form
   1,004.98/1,386.83 = 585.34/x
3. Step 3: Cross multiply
   1,004.98x = 1,386.83 × 585.34
4. Step 4: Simplify right side
   1,004.98x = 811,764.15
5. Step 5: Solve for x
   x = 811,764.15/1,004.98
6. Step 6: Final answer
   x = 807.75