Finding the Fourth Proportional to 82.14, 123.17 and 47.91

Step by Step Solution

1. Step 1: Write the proportion equation
   82.14 : 123.17 = 47.91 : x
2. Step 2: Convert to fraction form
   82.14/123.17 = 47.91/x
3. Step 3: Cross multiply
   82.14x = 123.17 × 47.91
4. Step 4: Simplify right side
   82.14x = 5,901.43
5. Step 5: Solve for x
   x = 5,901.43/82.14
6. Step 6: Final answer
   x = 71.84