Finding the Fourth Proportional to 10,636.92, 14,678.82 and 5,856.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,636.92 : 14,678.82 = 5,856.76 : x
2. Step 2: Convert to fraction form
   10,636.92/14,678.82 = 5,856.76/x
3. Step 3: Cross multiply
   10,636.92x = 14,678.82 × 5,856.76
4. Step 4: Simplify right side
   10,636.92x = 85,970,384.48
5. Step 5: Solve for x
   x = 85,970,384.48/10,636.92
6. Step 6: Final answer
   x = 8,082.26