Finding the Fourth Proportional to 127.31, 189.97 and 113.69

Step by Step Solution

1. Step 1: Write the proportion equation
   127.31 : 189.97 = 113.69 : x
2. Step 2: Convert to fraction form
   127.31/189.97 = 113.69/x
3. Step 3: Cross multiply
   127.31x = 189.97 × 113.69
4. Step 4: Simplify right side
   127.31x = 21,597.69
5. Step 5: Solve for x
   x = 21,597.69/127.31
6. Step 6: Final answer
   x = 169.65