Finding the Fourth Proportional to 1,002.57, 1,383.72 and 583.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.57 : 1,383.72 = 583.05 : x
2. Step 2: Convert to fraction form
   1,002.57/1,383.72 = 583.05/x
3. Step 3: Cross multiply
   1,002.57x = 1,383.72 × 583.05
4. Step 4: Simplify right side
   1,002.57x = 806,777.95
5. Step 5: Solve for x
   x = 806,777.95/1,002.57
6. Step 6: Final answer
   x = 804.71