Finding the Fourth Proportional to 1,002.84, 1,383.71 and 583.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.84 : 1,383.71 = 583.19 : x
2. Step 2: Convert to fraction form
   1,002.84/1,383.71 = 583.19/x
3. Step 3: Cross multiply
   1,002.84x = 1,383.71 × 583.19
4. Step 4: Simplify right side
   1,002.84x = 806,965.83
5. Step 5: Solve for x
   x = 806,965.83/1,002.84
6. Step 6: Final answer
   x = 804.68