Finding the Fourth Proportional to 10,119.48, 13,958.86 and 7,877.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,119.48 : 13,958.86 = 7,877.80 : x
2. Step 2: Convert to fraction form
   10,119.48/13,958.86 = 7,877.80/x
3. Step 3: Cross multiply
   10,119.48x = 13,958.86 × 7,877.80
4. Step 4: Simplify right side
   10,119.48x = 109,965,107.31
5. Step 5: Solve for x
   x = 109,965,107.31/10,119.48
6. Step 6: Final answer
   x = 10,866.68