Finding the Fourth Proportional to 86.72, 119.83 and 83.53

Step by Step Solution

1. Step 1: Write the proportion equation
   86.72 : 119.83 = 83.53 : x
2. Step 2: Convert to fraction form
   86.72/119.83 = 83.53/x
3. Step 3: Cross multiply
   86.72x = 119.83 × 83.53
4. Step 4: Simplify right side
   86.72x = 10,009.50
5. Step 5: Solve for x
   x = 10,009.50/86.72
6. Step 6: Final answer
   x = 115.42