Finding the Fourth Proportional to 1,002.63, 1,383.69 and 560.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.63 : 1,383.69 = 560.56 : x
2. Step 2: Convert to fraction form
   1,002.63/1,383.69 = 560.56/x
3. Step 3: Cross multiply
   1,002.63x = 1,383.69 × 560.56
4. Step 4: Simplify right side
   1,002.63x = 775,639.35
5. Step 5: Solve for x
   x = 775,639.35/1,002.63
6. Step 6: Final answer
   x = 773.61