Finding the Fourth Proportional to 1,004.57, 1,386.18 and 585.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.57 : 1,386.18 = 585.03 : x
2. Step 2: Convert to fraction form
   1,004.57/1,386.18 = 585.03/x
3. Step 3: Cross multiply
   1,004.57x = 1,386.18 × 585.03
4. Step 4: Simplify right side
   1,004.57x = 810,956.89
5. Step 5: Solve for x
   x = 810,956.89/1,004.57
6. Step 6: Final answer
   x = 807.27