Finding the Fourth Proportional to 300,407.50, 414,568.83 and 166,271.50

Step by Step Solution

1. Step 1: Write the proportion equation
   300,407.50 : 414,568.83 = 166,271.50 : x
2. Step 2: Convert to fraction form
   300,407.50/414,568.83 = 166,271.50/x
3. Step 3: Cross multiply
   300,407.50x = 414,568.83 × 166,271.50
4. Step 4: Simplify right side
   300,407.50x = 68,930,981,217.35
5. Step 5: Solve for x
   x = 68,930,981,217.35/300,407.50
6. Step 6: Final answer
   x = 229,458.26