Finding the Fourth Proportional to 1,002.67, 1,383.71 and 560.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.67 : 1,383.71 = 560.57 : x
2. Step 2: Convert to fraction form
   1,002.67/1,383.71 = 560.57/x
3. Step 3: Cross multiply
   1,002.67x = 1,383.71 × 560.57
4. Step 4: Simplify right side
   1,002.67x = 775,656.59
5. Step 5: Solve for x
   x = 775,656.59/1,002.67
6. Step 6: Final answer
   x = 773.59