Finding the Fourth Proportional to 82.54, 123.91 and 78.29

Step by Step Solution

1. Step 1: Write the proportion equation
   82.54 : 123.91 = 78.29 : x
2. Step 2: Convert to fraction form
   82.54/123.91 = 78.29/x
3. Step 3: Cross multiply
   82.54x = 123.91 × 78.29
4. Step 4: Simplify right side
   82.54x = 9,700.10
5. Step 5: Solve for x
   x = 9,700.10/82.54
6. Step 6: Final answer
   x = 117.52