Finding the Fourth Proportional to 10,499.50, 14,488.83 and 6,022.97

Step by Step Solution

1. Step 1: Write the proportion equation
   10,499.50 : 14,488.83 = 6,022.97 : x
2. Step 2: Convert to fraction form
   10,499.50/14,488.83 = 6,022.97/x
3. Step 3: Cross multiply
   10,499.50x = 14,488.83 × 6,022.97
4. Step 4: Simplify right side
   10,499.50x = 87,265,788.43
5. Step 5: Solve for x
   x = 87,265,788.43/10,499.50
6. Step 6: Final answer
   x = 8,311.42