Finding the Fourth Proportional to 82.02, 123.12 and 78.24

Step by Step Solution

1. Step 1: Write the proportion equation
   82.02 : 123.12 = 78.24 : x
2. Step 2: Convert to fraction form
   82.02/123.12 = 78.24/x
3. Step 3: Cross multiply
   82.02x = 123.12 × 78.24
4. Step 4: Simplify right side
   82.02x = 9,632.91
5. Step 5: Solve for x
   x = 9,632.91/82.02
6. Step 6: Final answer
   x = 117.45