Finding the Fourth Proportional to 10,676.75, 14,733.81 and 5,896.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,676.75 : 14,733.81 = 5,896.69 : x
2. Step 2: Convert to fraction form
   10,676.75/14,733.81 = 5,896.69/x
3. Step 3: Cross multiply
   10,676.75x = 14,733.81 × 5,896.69
4. Step 4: Simplify right side
   10,676.75x = 86,880,673.25
5. Step 5: Solve for x
   x = 86,880,673.25/10,676.75
6. Step 6: Final answer
   x = 8,137.37