Finding the Fourth Proportional to 1,002.72, 1,383.83 and 560.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.72 : 1,383.83 = 560.64 : x
2. Step 2: Convert to fraction form
   1,002.72/1,383.83 = 560.64/x
3. Step 3: Cross multiply
   1,002.72x = 1,383.83 × 560.64
4. Step 4: Simplify right side
   1,002.72x = 775,827.65
5. Step 5: Solve for x
   x = 775,827.65/1,002.72
6. Step 6: Final answer
   x = 773.72