Finding the Fourth Proportional to 106.77, 147.38 and 82.18

Step by Step Solution

1. Step 1: Write the proportion equation
   106.77 : 147.38 = 82.18 : x
2. Step 2: Convert to fraction form
   106.77/147.38 = 82.18/x
3. Step 3: Cross multiply
   106.77x = 147.38 × 82.18
4. Step 4: Simplify right side
   106.77x = 12,111.69
5. Step 5: Solve for x
   x = 12,111.69/106.77
6. Step 6: Final answer
   x = 113.44