Finding the Fourth Proportional to 106.37, 146.56 and 71.81

Step by Step Solution

1. Step 1: Write the proportion equation
   106.37 : 146.56 = 71.81 : x
2. Step 2: Convert to fraction form
   106.37/146.56 = 71.81/x
3. Step 3: Cross multiply
   106.37x = 146.56 × 71.81
4. Step 4: Simplify right side
   106.37x = 10,524.47
5. Step 5: Solve for x
   x = 10,524.47/106.37
6. Step 6: Final answer
   x = 98.94