Finding the Fourth Proportional to 10,076.87, 13,906.16 and 5,827.92

Step by Step Solution

1. Step 1: Write the proportion equation
   10,076.87 : 13,906.16 = 5,827.92 : x
2. Step 2: Convert to fraction form
   10,076.87/13,906.16 = 5,827.92/x
3. Step 3: Cross multiply
   10,076.87x = 13,906.16 × 5,827.92
4. Step 4: Simplify right side
   10,076.87x = 81,043,958.85
5. Step 5: Solve for x
   x = 81,043,958.85/10,076.87
6. Step 6: Final answer
   x = 8,042.58