Finding the Fourth Proportional to 127.82, 191.24 and 86.01

Step by Step Solution

1. Step 1: Write the proportion equation
   127.82 : 191.24 = 86.01 : x
2. Step 2: Convert to fraction form
   127.82/191.24 = 86.01/x
3. Step 3: Cross multiply
   127.82x = 191.24 × 86.01
4. Step 4: Simplify right side
   127.82x = 16,448.12
5. Step 5: Solve for x
   x = 16,448.12/127.82
6. Step 6: Final answer
   x = 128.69