Finding the Fourth Proportional to 2,007.16, 3,011.22 and 774.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,007.16 : 3,011.22 = 774.72 : x
2. Step 2: Convert to fraction form
   2,007.16/3,011.22 = 774.72/x
3. Step 3: Cross multiply
   2,007.16x = 3,011.22 × 774.72
4. Step 4: Simplify right side
   2,007.16x = 2,332,852.36
5. Step 5: Solve for x
   x = 2,332,852.36/2,007.16
6. Step 6: Final answer
   x = 1,162.27