Finding the Fourth Proportional to 2,154.82, 3,231.69 and 838.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,154.82 : 3,231.69 = 838.12 : x
2. Step 2: Convert to fraction form
   2,154.82/3,231.69 = 838.12/x
3. Step 3: Cross multiply
   2,154.82x = 3,231.69 × 838.12
4. Step 4: Simplify right side
   2,154.82x = 2,708,544.02
5. Step 5: Solve for x
   x = 2,708,544.02/2,154.82
6. Step 6: Final answer
   x = 1,256.97