Finding the Fourth Proportional to 146.82, 220.37 and 78.42

Step by Step Solution

1. Step 1: Write the proportion equation
   146.82 : 220.37 = 78.42 : x
2. Step 2: Convert to fraction form
   146.82/220.37 = 78.42/x
3. Step 3: Cross multiply
   146.82x = 220.37 × 78.42
4. Step 4: Simplify right side
   146.82x = 17,281.02
5. Step 5: Solve for x
   x = 17,281.02/146.82
6. Step 6: Final answer
   x = 117.70