Finding the Fourth Proportional to 82.24, 123.50 and 71.01

Step by Step Solution

1. Step 1: Write the proportion equation
   82.24 : 123.50 = 71.01 : x
2. Step 2: Convert to fraction form
   82.24/123.50 = 71.01/x
3. Step 3: Cross multiply
   82.24x = 123.50 × 71.01
4. Step 4: Simplify right side
   82.24x = 8,769.91
5. Step 5: Solve for x
   x = 8,769.91/82.24
6. Step 6: Final answer
   x = 106.64