Finding the Fourth Proportional to 997.69, 1,495.21 and 765.69

Step by Step Solution

1. Step 1: Write the proportion equation
   997.69 : 1,495.21 = 765.69 : x
2. Step 2: Convert to fraction form
   997.69/1,495.21 = 765.69/x
3. Step 3: Cross multiply
   997.69x = 1,495.21 × 765.69
4. Step 4: Simplify right side
   997.69x = 1,144,863.52
5. Step 5: Solve for x
   x = 1,144,863.52/997.69
6. Step 6: Final answer
   x = 1,147.52