Finding the Fourth Proportional to 1,151.50, 1,587.96 and 774.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.50 : 1,587.96 = 774.24 : x
2. Step 2: Convert to fraction form
   1,151.50/1,587.96 = 774.24/x
3. Step 3: Cross multiply
   1,151.50x = 1,587.96 × 774.24
4. Step 4: Simplify right side
   1,151.50x = 1,229,462.15
5. Step 5: Solve for x
   x = 1,229,462.15/1,151.50
6. Step 6: Final answer
   x = 1,067.70