Finding the Fourth Proportional to 1,002.28, 1,383.12 and 560.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.28 : 1,383.12 = 560.16 : x
2. Step 2: Convert to fraction form
   1,002.28/1,383.12 = 560.16/x
3. Step 3: Cross multiply
   1,002.28x = 1,383.12 × 560.16
4. Step 4: Simplify right side
   1,002.28x = 774,768.50
5. Step 5: Solve for x
   x = 774,768.50/1,002.28
6. Step 6: Final answer
   x = 773.01