Finding the Fourth Proportional to 10,864.84, 14,993.31 and 5,896.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,864.84 : 14,993.31 = 5,896.84 : x
2. Step 2: Convert to fraction form
   10,864.84/14,993.31 = 5,896.84/x
3. Step 3: Cross multiply
   10,864.84x = 14,993.31 × 5,896.84
4. Step 4: Simplify right side
   10,864.84x = 88,413,150.14
5. Step 5: Solve for x
   x = 88,413,150.14/10,864.84
6. Step 6: Final answer
   x = 8,137.55