Finding the Fourth Proportional to 769.84, 1,150.82 and 574.72

Step by Step Solution

1. Step 1: Write the proportion equation
   769.84 : 1,150.82 = 574.72 : x
2. Step 2: Convert to fraction form
   769.84/1,150.82 = 574.72/x
3. Step 3: Cross multiply
   769.84x = 1,150.82 × 574.72
4. Step 4: Simplify right side
   769.84x = 661,399.27
5. Step 5: Solve for x
   x = 661,399.27/769.84
6. Step 6: Final answer
   x = 859.14