Finding the Fourth Proportional to 300,420, 414,592.56 and 166,284

Step by Step Solution

1. Step 1: Write the proportion equation
   300,420 : 414,592.56 = 166,284 : x
2. Step 2: Convert to fraction form
   300,420/414,592.56 = 166,284/x
3. Step 3: Cross multiply
   300,420x = 414,592.56 × 166,284
4. Step 4: Simplify right side
   300,420x = 68,940,109,247.04
5. Step 5: Solve for x
   x = 68,940,109,247.04/300,420
6. Step 6: Final answer
   x = 229,479.09