Finding the Fourth Proportional to 300,700.50, 414,967.50 and 166,564.50

Step by Step Solution

1. Step 1: Write the proportion equation
   300,700.50 : 414,967.50 = 166,564.50 : x
2. Step 2: Convert to fraction form
   300,700.50/414,967.50 = 166,564.50/x
3. Step 3: Cross multiply
   300,700.50x = 414,967.50 × 166,564.50
4. Step 4: Simplify right side
   300,700.50x = 69,118,854,153.75
5. Step 5: Solve for x
   x = 69,118,854,153.75/300,700.50
6. Step 6: Final answer
   x = 229,859.46