Finding the Fourth Proportional to 271,218.50, 406,827.78 and 105,006.50

Step by Step Solution

1. Step 1: Write the proportion equation
   271,218.50 : 406,827.78 = 105,006.50 : x
2. Step 2: Convert to fraction form
   271,218.50/406,827.78 = 105,006.50/x
3. Step 3: Cross multiply
   271,218.50x = 406,827.78 × 105,006.50
4. Step 4: Simplify right side
   271,218.50x = 42,719,561,280.57
5. Step 5: Solve for x
   x = 42,719,561,280.57/271,218.50
6. Step 6: Final answer
   x = 157,509.76