Finding the Fourth Proportional to 2,106.78, 3,158.64 and 996.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,106.78 : 3,158.64 = 996.27 : x
2. Step 2: Convert to fraction form
   2,106.78/3,158.64 = 996.27/x
3. Step 3: Cross multiply
   2,106.78x = 3,158.64 × 996.27
4. Step 4: Simplify right side
   2,106.78x = 3,146,858.27
5. Step 5: Solve for x
   x = 3,146,858.27/2,106.78
6. Step 6: Final answer
   x = 1,493.68