Finding the Fourth Proportional to 10,738.17, 14,819.36 and 6,022.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,738.17 : 14,819.36 = 6,022.76 : x
2. Step 2: Convert to fraction form
   10,738.17/14,819.36 = 6,022.76/x
3. Step 3: Cross multiply
   10,738.17x = 14,819.36 × 6,022.76
4. Step 4: Simplify right side
   10,738.17x = 89,253,344.42
5. Step 5: Solve for x
   x = 89,253,344.42/10,738.17
6. Step 6: Final answer
   x = 8,311.78