Finding the Fourth Proportional to 13,843.76, 19,105.50 and 7,877.24

Step by Step Solution

1. Step 1: Write the proportion equation
   13,843.76 : 19,105.50 = 7,877.24 : x
2. Step 2: Convert to fraction form
   13,843.76/19,105.50 = 7,877.24/x
3. Step 3: Cross multiply
   13,843.76x = 19,105.50 × 7,877.24
4. Step 4: Simplify right side
   13,843.76x = 150,498,608.82
5. Step 5: Solve for x
   x = 150,498,608.82/13,843.76
6. Step 6: Final answer
   x = 10,871.22