Finding the Fourth Proportional to 113.67, 156.69 and 80.82

Step by Step Solution

1. Step 1: Write the proportion equation
   113.67 : 156.69 = 80.82 : x
2. Step 2: Convert to fraction form
   113.67/156.69 = 80.82/x
3. Step 3: Cross multiply
   113.67x = 156.69 × 80.82
4. Step 4: Simplify right side
   113.67x = 12,663.69
5. Step 5: Solve for x
   x = 12,663.69/113.67
6. Step 6: Final answer
   x = 111.41