Finding the Fourth Proportional to 82.28, 123.25 and 78.52

Step by Step Solution

1. Step 1: Write the proportion equation
   82.28 : 123.25 = 78.52 : x
2. Step 2: Convert to fraction form
   82.28/123.25 = 78.52/x
3. Step 3: Cross multiply
   82.28x = 123.25 × 78.52
4. Step 4: Simplify right side
   82.28x = 9,677.20
5. Step 5: Solve for x
   x = 9,677.20/82.28
6. Step 6: Final answer
   x = 117.62