Finding the Fourth Proportional to 1,949.27, 2,922.25 and 852.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,949.27 : 2,922.25 = 852.82 : x
2. Step 2: Convert to fraction form
   1,949.27/2,922.25 = 852.82/x
3. Step 3: Cross multiply
   1,949.27x = 2,922.25 × 852.82
4. Step 4: Simplify right side
   1,949.27x = 2,492,147.01
5. Step 5: Solve for x
   x = 2,492,147.01/1,949.27
6. Step 6: Final answer
   x = 1,278.50