Finding the Fourth Proportional to 146.75, 219.87 and 105.98

Step by Step Solution

1. Step 1: Write the proportion equation
   146.75 : 219.87 = 105.98 : x
2. Step 2: Convert to fraction form
   146.75/219.87 = 105.98/x
3. Step 3: Cross multiply
   146.75x = 219.87 × 105.98
4. Step 4: Simplify right side
   146.75x = 23,300.72
5. Step 5: Solve for x
   x = 23,300.72/146.75
6. Step 6: Final answer
   x = 158.78