Finding the Fourth Proportional to 82.52, 123.62 and 78.14

Step by Step Solution

1. Step 1: Write the proportion equation
   82.52 : 123.62 = 78.14 : x
2. Step 2: Convert to fraction form
   82.52/123.62 = 78.14/x
3. Step 3: Cross multiply
   82.52x = 123.62 × 78.14
4. Step 4: Simplify right side
   82.52x = 9,659.67
5. Step 5: Solve for x
   x = 9,659.67/82.52
6. Step 6: Final answer
   x = 117.06