Finding the Fourth Proportional to 300,565, 414,792.66 and 166,429

Step by Step Solution

1. Step 1: Write the proportion equation
   300,565 : 414,792.66 = 166,429 : x
2. Step 2: Convert to fraction form
   300,565/414,792.66 = 166,429/x
3. Step 3: Cross multiply
   300,565x = 414,792.66 × 166,429
4. Step 4: Simplify right side
   300,565x = 69,033,527,611.14
5. Step 5: Solve for x
   x = 69,033,527,611.14/300,565
6. Step 6: Final answer
   x = 229,679.20