Finding the Fourth Proportional to 10,491.87, 14,478.66 and 5,776.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,491.87 : 14,478.66 = 5,776.05 : x
2. Step 2: Convert to fraction form
   10,491.87/14,478.66 = 5,776.05/x
3. Step 3: Cross multiply
   10,491.87x = 14,478.66 × 5,776.05
4. Step 4: Simplify right side
   10,491.87x = 83,629,464.09
5. Step 5: Solve for x
   x = 83,629,464.09/10,491.87
6. Step 6: Final answer
   x = 7,970.88