Finding the Fourth Proportional to 146.69, 219.98 and 78.17

Step by Step Solution

1. Step 1: Write the proportion equation
   146.69 : 219.98 = 78.17 : x
2. Step 2: Convert to fraction form
   146.69/219.98 = 78.17/x
3. Step 3: Cross multiply
   146.69x = 219.98 × 78.17
4. Step 4: Simplify right side
   146.69x = 17,196.00
5. Step 5: Solve for x
   x = 17,196.00/146.69
6. Step 6: Final answer
   x = 117.23