Finding the Fourth Proportional to 300.10, 414.06 and 169.10

Step by Step Solution

1. Step 1: Write the proportion equation
   300.10 : 414.06 = 169.10 : x
2. Step 2: Convert to fraction form
   300.10/414.06 = 169.10/x
3. Step 3: Cross multiply
   300.10x = 414.06 × 169.10
4. Step 4: Simplify right side
   300.10x = 70,019.67
5. Step 5: Solve for x
   x = 70,019.67/300.10
6. Step 6: Final answer
   x = 233.32