Finding the Fourth Proportional to 300,097.48, 414,141.78 and 164,144.20

Step by Step Solution

1. Step 1: Write the proportion equation
   300,097.48 : 414,141.78 = 164,144.20 : x
2. Step 2: Convert to fraction form
   300,097.48/414,141.78 = 164,144.20/x
3. Step 3: Cross multiply
   300,097.48x = 414,141.78 × 164,144.20
4. Step 4: Simplify right side
   300,097.48x = 67,978,971,164.68
5. Step 5: Solve for x
   x = 67,978,971,164.68/300,097.48
6. Step 6: Final answer
   x = 226,522.97