Finding the Fourth Proportional to 123.82, 185.76 and 78.22

Step by Step Solution

1. Step 1: Write the proportion equation
   123.82 : 185.76 = 78.22 : x
2. Step 2: Convert to fraction form
   123.82/185.76 = 78.22/x
3. Step 3: Cross multiply
   123.82x = 185.76 × 78.22
4. Step 4: Simplify right side
   123.82x = 14,530.15
5. Step 5: Solve for x
   x = 14,530.15/123.82
6. Step 6: Final answer
   x = 117.35