Finding the Fourth Proportional to 2,085.16, 3,127.68 and 852.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.16 : 3,127.68 = 852.27 : x
2. Step 2: Convert to fraction form
   2,085.16/3,127.68 = 852.27/x
3. Step 3: Cross multiply
   2,085.16x = 3,127.68 × 852.27
4. Step 4: Simplify right side
   2,085.16x = 2,665,633.70
5. Step 5: Solve for x
   x = 2,665,633.70/2,085.16
6. Step 6: Final answer
   x = 1,278.38