Finding the Fourth Proportional to 300,002.16, 414,015.84 and 164,028

Step by Step Solution

1. Step 1: Write the proportion equation
   300,002.16 : 414,015.84 = 164,028 : x
2. Step 2: Convert to fraction form
   300,002.16/414,015.84 = 164,028/x
3. Step 3: Cross multiply
   300,002.16x = 414,015.84 × 164,028
4. Step 4: Simplify right side
   300,002.16x = 67,910,190,203.52
5. Step 5: Solve for x
   x = 67,910,190,203.52/300,002.16
6. Step 6: Final answer
   x = 226,365.67