Finding the Fourth Proportional to 82.05, 123.14 and 43.57

Step by Step Solution

1. Step 1: Write the proportion equation
   82.05 : 123.14 = 43.57 : x
2. Step 2: Convert to fraction form
   82.05/123.14 = 43.57/x
3. Step 3: Cross multiply
   82.05x = 123.14 × 43.57
4. Step 4: Simplify right side
   82.05x = 5,365.21
5. Step 5: Solve for x
   x = 5,365.21/82.05
6. Step 6: Final answer
   x = 65.39