Finding the Fourth Proportional to 669.50, 1,002.71 and 563.48

Step by Step Solution

1. Step 1: Write the proportion equation
   669.50 : 1,002.71 = 563.48 : x
2. Step 2: Convert to fraction form
   669.50/1,002.71 = 563.48/x
3. Step 3: Cross multiply
   669.50x = 1,002.71 × 563.48
4. Step 4: Simplify right side
   669.50x = 565,003.43
5. Step 5: Solve for x
   x = 565,003.43/669.50
6. Step 6: Final answer
   x = 843.92