Finding the Fourth Proportional to 1,002.62, 1,383.60 and 560.51

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.62 : 1,383.60 = 560.51 : x
2. Step 2: Convert to fraction form
   1,002.62/1,383.60 = 560.51/x
3. Step 3: Cross multiply
   1,002.62x = 1,383.60 × 560.51
4. Step 4: Simplify right side
   1,002.62x = 775,514.72
5. Step 5: Solve for x
   x = 775,514.72/1,002.62
6. Step 6: Final answer
   x = 773.49