Finding the Fourth Proportional to 131.82, 181.83 and 120.78

Step by Step Solution

1. Step 1: Write the proportion equation
   131.82 : 181.83 = 120.78 : x
2. Step 2: Convert to fraction form
   131.82/181.83 = 120.78/x
3. Step 3: Cross multiply
   131.82x = 181.83 × 120.78
4. Step 4: Simplify right side
   131.82x = 21,961.43
5. Step 5: Solve for x
   x = 21,961.43/131.82
6. Step 6: Final answer
   x = 166.60