Finding the Fourth Proportional to 10,067.82, 13,894.83 and 5,877.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,067.82 : 13,894.83 = 5,877.42 : x
2. Step 2: Convert to fraction form
   10,067.82/13,894.83 = 5,877.42/x
3. Step 3: Cross multiply
   10,067.82x = 13,894.83 × 5,877.42
4. Step 4: Simplify right side
   10,067.82x = 81,665,751.74
5. Step 5: Solve for x
   x = 81,665,751.74/10,067.82
6. Step 6: Final answer
   x = 8,111.56