Finding the Fourth Proportional to 10,738.67, 14,819.33 and 6,023.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,738.67 : 14,819.33 = 6,023.05 : x
2. Step 2: Convert to fraction form
   10,738.67/14,819.33 = 6,023.05/x
3. Step 3: Cross multiply
   10,738.67x = 14,819.33 × 6,023.05
4. Step 4: Simplify right side
   10,738.67x = 89,257,617.66
5. Step 5: Solve for x
   x = 89,257,617.66/10,738.67
6. Step 6: Final answer
   x = 8,311.79