Finding the Fourth Proportional to 2,007.92, 3,011.94 and 852.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,007.92 : 3,011.94 = 852.86 : x
2. Step 2: Convert to fraction form
   2,007.92/3,011.94 = 852.86/x
3. Step 3: Cross multiply
   2,007.92x = 3,011.94 × 852.86
4. Step 4: Simplify right side
   2,007.92x = 2,568,763.15
5. Step 5: Solve for x
   x = 2,568,763.15/2,007.92
6. Step 6: Final answer
   x = 1,279.32