Finding the Fourth Proportional to 83.82, 114.92 and 83.72

Step by Step Solution

1. Step 1: Write the proportion equation
   83.82 : 114.92 = 83.72 : x
2. Step 2: Convert to fraction form
   83.82/114.92 = 83.72/x
3. Step 3: Cross multiply
   83.82x = 114.92 × 83.72
4. Step 4: Simplify right side
   83.82x = 9,621.10
5. Step 5: Solve for x
   x = 9,621.10/83.82
6. Step 6: Final answer
   x = 114.78