Finding the Fourth Proportional to 10,087.68, 13,921.92 and 5,896.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,087.68 : 13,921.92 = 5,896.56 : x
2. Step 2: Convert to fraction form
   10,087.68/13,921.92 = 5,896.56/x
3. Step 3: Cross multiply
   10,087.68x = 13,921.92 × 5,896.56
4. Step 4: Simplify right side
   10,087.68x = 82,091,436.60
5. Step 5: Solve for x
   x = 82,091,436.60/10,087.68
6. Step 6: Final answer
   x = 8,137.79