Finding the Fourth Proportional to 111.97, 167.86 and 77.82

Step by Step Solution

1. Step 1: Write the proportion equation
   111.97 : 167.86 = 77.82 : x
2. Step 2: Convert to fraction form
   111.97/167.86 = 77.82/x
3. Step 3: Cross multiply
   111.97x = 167.86 × 77.82
4. Step 4: Simplify right side
   111.97x = 13,062.87
5. Step 5: Solve for x
   x = 13,062.87/111.97
6. Step 6: Final answer
   x = 116.66