Finding the Fourth Proportional to 106.55, 146.96 and 91.82

Step by Step Solution

1. Step 1: Write the proportion equation
   106.55 : 146.96 = 91.82 : x
2. Step 2: Convert to fraction form
   106.55/146.96 = 91.82/x
3. Step 3: Cross multiply
   106.55x = 146.96 × 91.82
4. Step 4: Simplify right side
   106.55x = 13,493.78
5. Step 5: Solve for x
   x = 13,493.78/106.55
6. Step 6: Final answer
   x = 126.65