Finding the Fourth Proportional to 1,002.16, 1,383.06 and 560.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.16 : 1,383.06 = 560.09 : x
2. Step 2: Convert to fraction form
   1,002.16/1,383.06 = 560.09/x
3. Step 3: Cross multiply
   1,002.16x = 1,383.06 × 560.09
4. Step 4: Simplify right side
   1,002.16x = 774,638.08
5. Step 5: Solve for x
   x = 774,638.08/1,002.16
6. Step 6: Final answer
   x = 772.97