Finding the Fourth Proportional to 82.35, 123.32 and 78.23

Step by Step Solution

1. Step 1: Write the proportion equation
   82.35 : 123.32 = 78.23 : x
2. Step 2: Convert to fraction form
   82.35/123.32 = 78.23/x
3. Step 3: Cross multiply
   82.35x = 123.32 × 78.23
4. Step 4: Simplify right side
   82.35x = 9,647.83
5. Step 5: Solve for x
   x = 9,647.83/82.35
6. Step 6: Final answer
   x = 117.16