Finding the Fourth Proportional to 1,002.27, 1,383.14 and 560.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.27 : 1,383.14 = 560.18 : x
2. Step 2: Convert to fraction form
   1,002.27/1,383.14 = 560.18/x
3. Step 3: Cross multiply
   1,002.27x = 1,383.14 × 560.18
4. Step 4: Simplify right side
   1,002.27x = 774,812.22
5. Step 5: Solve for x
   x = 774,812.22/1,002.27
6. Step 6: Final answer
   x = 773.05