Finding the Fourth Proportional to 131.78, 181.77 and 106.89

Step by Step Solution

1. Step 1: Write the proportion equation
   131.78 : 181.77 = 106.89 : x
2. Step 2: Convert to fraction form
   131.78/181.77 = 106.89/x
3. Step 3: Cross multiply
   131.78x = 181.77 × 106.89
4. Step 4: Simplify right side
   131.78x = 19,428.86
5. Step 5: Solve for x
   x = 19,428.86/131.78
6. Step 6: Final answer
   x = 147.44