Finding the Fourth Proportional to 1,002.83, 1,383.87 and 583.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.83 : 1,383.87 = 583.31 : x
2. Step 2: Convert to fraction form
   1,002.83/1,383.87 = 583.31/x
3. Step 3: Cross multiply
   1,002.83x = 1,383.87 × 583.31
4. Step 4: Simplify right side
   1,002.83x = 807,218.29
5. Step 5: Solve for x
   x = 807,218.29/1,002.83
6. Step 6: Final answer
   x = 804.94