Finding the Fourth Proportional to 89.71, 123.69 and 82.06

Step by Step Solution

1. Step 1: Write the proportion equation
   89.71 : 123.69 = 82.06 : x
2. Step 2: Convert to fraction form
   89.71/123.69 = 82.06/x
3. Step 3: Cross multiply
   89.71x = 123.69 × 82.06
4. Step 4: Simplify right side
   89.71x = 10,150.00
5. Step 5: Solve for x
   x = 10,150.00/89.71
6. Step 6: Final answer
   x = 113.14