Finding the Fourth Proportional to 271,214.50, 406,821.78 and 105,002.50

Step by Step Solution

1. Step 1: Write the proportion equation
   271,214.50 : 406,821.78 = 105,002.50 : x
2. Step 2: Convert to fraction form
   271,214.50/406,821.78 = 105,002.50/x
3. Step 3: Cross multiply
   271,214.50x = 406,821.78 × 105,002.50
4. Step 4: Simplify right side
   271,214.50x = 42,717,303,954.45
5. Step 5: Solve for x
   x = 42,717,303,954.45/271,214.50
6. Step 6: Final answer
   x = 157,503.76