Finding the Fourth Proportional to 1,146.50, 1,582.56 and 773.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.50 : 1,582.56 = 773.24 : x
2. Step 2: Convert to fraction form
   1,146.50/1,582.56 = 773.24/x
3. Step 3: Cross multiply
   1,146.50x = 1,582.56 × 773.24
4. Step 4: Simplify right side
   1,146.50x = 1,223,698.69
5. Step 5: Solve for x
   x = 1,223,698.69/1,146.50
6. Step 6: Final answer
   x = 1,067.33