Finding the Fourth Proportional to 10,738.29, 14,819.58 and 6,022.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,738.29 : 14,819.58 = 6,022.88 : x
2. Step 2: Convert to fraction form
   10,738.29/14,819.58 = 6,022.88/x
3. Step 3: Cross multiply
   10,738.29x = 14,819.58 × 6,022.88
4. Step 4: Simplify right side
   10,738.29x = 89,256,477.89
5. Step 5: Solve for x
   x = 89,256,477.89/10,738.29
6. Step 6: Final answer
   x = 8,311.98