Finding the Fourth Proportional to 301,978.75, 416,738.62 and 166,016.12

Step by Step Solution

1. Step 1: Write the proportion equation
   301,978.75 : 416,738.62 = 166,016.12 : x
2. Step 2: Convert to fraction form
   301,978.75/416,738.62 = 166,016.12/x
3. Step 3: Cross multiply
   301,978.75x = 416,738.62 × 166,016.12
4. Step 4: Simplify right side
   301,978.75x = 69,185,328,746.55
5. Step 5: Solve for x
   x = 69,185,328,746.55/301,978.75
6. Step 6: Final answer
   x = 229,106.61