Finding the Fourth Proportional to 271,228, 406,842 and 105,016

Step by Step Solution

1. Step 1: Write the proportion equation
   271,228 : 406,842 = 105,016 : x
2. Step 2: Convert to fraction form
   271,228/406,842 = 105,016/x
3. Step 3: Cross multiply
   271,228x = 406,842 × 105,016
4. Step 4: Simplify right side
   271,228x = 42,724,919,472
5. Step 5: Solve for x
   x = 42,724,919,472/271,228
6. Step 6: Final answer
   x = 157,524