Finding the Fourth Proportional to 765.72, 1,142.58 and 667.32

Step by Step Solution

1. Step 1: Write the proportion equation
   765.72 : 1,142.58 = 667.32 : x
2. Step 2: Convert to fraction form
   765.72/1,142.58 = 667.32/x
3. Step 3: Cross multiply
   765.72x = 1,142.58 × 667.32
4. Step 4: Simplify right side
   765.72x = 762,466.49
5. Step 5: Solve for x
   x = 762,466.49/765.72
6. Step 6: Final answer
   x = 995.75