Finding the Fourth Proportional to 10,676.76, 14,733.83 and 5,896.99

Step by Step Solution

1. Step 1: Write the proportion equation
   10,676.76 : 14,733.83 = 5,896.99 : x
2. Step 2: Convert to fraction form
   10,676.76/14,733.83 = 5,896.99/x
3. Step 3: Cross multiply
   10,676.76x = 14,733.83 × 5,896.99
4. Step 4: Simplify right side
   10,676.76x = 86,885,281.33
5. Step 5: Solve for x
   x = 86,885,281.33/10,676.76
6. Step 6: Final answer
   x = 8,137.80