Finding the Fourth Proportional to 106.53, 158.82 and 97.89

Step by Step Solution

1. Step 1: Write the proportion equation
   106.53 : 158.82 = 97.89 : x
2. Step 2: Convert to fraction form
   106.53/158.82 = 97.89/x
3. Step 3: Cross multiply
   106.53x = 158.82 × 97.89
4. Step 4: Simplify right side
   106.53x = 15,546.89
5. Step 5: Solve for x
   x = 15,546.89/106.53
6. Step 6: Final answer
   x = 145.94