Finding the Fourth Proportional to 767.67, 1,150.89 and 715.42

Step by Step Solution

1. Step 1: Write the proportion equation
   767.67 : 1,150.89 = 715.42 : x
2. Step 2: Convert to fraction form
   767.67/1,150.89 = 715.42/x
3. Step 3: Cross multiply
   767.67x = 1,150.89 × 715.42
4. Step 4: Simplify right side
   767.67x = 823,369.72
5. Step 5: Solve for x
   x = 823,369.72/767.67
6. Step 6: Final answer
   x = 1,072.56