Finding the Fourth Proportional to 300,098.80, 414,119.64 and 164,105.68

Step by Step Solution

1. Step 1: Write the proportion equation
   300,098.80 : 414,119.64 = 164,105.68 : x
2. Step 2: Convert to fraction form
   300,098.80/414,119.64 = 164,105.68/x
3. Step 3: Cross multiply
   300,098.80x = 414,119.64 × 164,105.68
4. Step 4: Simplify right side
   300,098.80x = 67,959,385,123.56
5. Step 5: Solve for x
   x = 67,959,385,123.56/300,098.80
6. Step 6: Final answer
   x = 226,456.70