Finding the Fourth Proportional to 127.89, 191.81 and 106.37

Step by Step Solution

1. Step 1: Write the proportion equation
   127.89 : 191.81 = 106.37 : x
2. Step 2: Convert to fraction form
   127.89/191.81 = 106.37/x
3. Step 3: Cross multiply
   127.89x = 191.81 × 106.37
4. Step 4: Simplify right side
   127.89x = 20,402.33
5. Step 5: Solve for x
   x = 20,402.33/127.89
6. Step 6: Final answer
   x = 159.53