Finding the Fourth Proportional to 82.77, 123.95 and 42.23

Step by Step Solution

1. Step 1: Write the proportion equation
   82.77 : 123.95 = 42.23 : x
2. Step 2: Convert to fraction form
   82.77/123.95 = 42.23/x
3. Step 3: Cross multiply
   82.77x = 123.95 × 42.23
4. Step 4: Simplify right side
   82.77x = 5,233.58
5. Step 5: Solve for x
   x = 5,233.58/82.77
6. Step 6: Final answer
   x = 63.23