Finding the Fourth Proportional to 772.69, 1,066.46 and 536.56

Step by Step Solution

1. Step 1: Write the proportion equation
   772.69 : 1,066.46 = 536.56 : x
2. Step 2: Convert to fraction form
   772.69/1,066.46 = 536.56/x
3. Step 3: Cross multiply
   772.69x = 1,066.46 × 536.56
4. Step 4: Simplify right side
   772.69x = 572,219.78
5. Step 5: Solve for x
   x = 572,219.78/772.69
6. Step 6: Final answer
   x = 740.56