Finding the Fourth Proportional to 131.82, 181.86 and 76.55

Step by Step Solution

1. Step 1: Write the proportion equation
   131.82 : 181.86 = 76.55 : x
2. Step 2: Convert to fraction form
   131.82/181.86 = 76.55/x
3. Step 3: Cross multiply
   131.82x = 181.86 × 76.55
4. Step 4: Simplify right side
   131.82x = 13,921.38
5. Step 5: Solve for x
   x = 13,921.38/131.82
6. Step 6: Final answer
   x = 105.61