Finding the Fourth Proportional to 114.78, 158.31 and 83.82

Step by Step Solution

1. Step 1: Write the proportion equation
   114.78 : 158.31 = 83.82 : x
2. Step 2: Convert to fraction form
   114.78/158.31 = 83.82/x
3. Step 3: Cross multiply
   114.78x = 158.31 × 83.82
4. Step 4: Simplify right side
   114.78x = 13,269.54
5. Step 5: Solve for x
   x = 13,269.54/114.78
6. Step 6: Final answer
   x = 115.61