Finding the Fourth Proportional to 114.82, 158.43 and 78.09

Step by Step Solution

1. Step 1: Write the proportion equation
   114.82 : 158.43 = 78.09 : x
2. Step 2: Convert to fraction form
   114.82/158.43 = 78.09/x
3. Step 3: Cross multiply
   114.82x = 158.43 × 78.09
4. Step 4: Simplify right side
   114.82x = 12,371.80
5. Step 5: Solve for x
   x = 12,371.80/114.82
6. Step 6: Final answer
   x = 107.75