Finding the Fourth Proportional to 10,824.82, 14,938.24 and 5,856.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,824.82 : 14,938.24 = 5,856.82 : x
2. Step 2: Convert to fraction form
   10,824.82/14,938.24 = 5,856.82/x
3. Step 3: Cross multiply
   10,824.82x = 14,938.24 × 5,856.82
4. Step 4: Simplify right side
   10,824.82x = 87,490,582.80
5. Step 5: Solve for x
   x = 87,490,582.80/10,824.82
6. Step 6: Final answer
   x = 8,082.41