Finding the Fourth Proportional to 131.82, 181.80 and 82.61

Step by Step Solution

1. Step 1: Write the proportion equation
   131.82 : 181.80 = 82.61 : x
2. Step 2: Convert to fraction form
   131.82/181.80 = 82.61/x
3. Step 3: Cross multiply
   131.82x = 181.80 × 82.61
4. Step 4: Simplify right side
   131.82x = 15,017.59
5. Step 5: Solve for x
   x = 15,017.59/131.82
6. Step 6: Final answer
   x = 113.92