Finding the Fourth Proportional to 773.39, 1,066.82 and 563.28

Step by Step Solution

1. Step 1: Write the proportion equation
   773.39 : 1,066.82 = 563.28 : x
2. Step 2: Convert to fraction form
   773.39/1,066.82 = 563.28/x
3. Step 3: Cross multiply
   773.39x = 1,066.82 × 563.28
4. Step 4: Simplify right side
   773.39x = 600,915.55
5. Step 5: Solve for x
   x = 600,915.55/773.39
6. Step 6: Final answer
   x = 776.99