Finding the Fourth Proportional to 10,493.90, 14,481.69 and 5,778.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,493.90 : 14,481.69 = 5,778.62 : x
2. Step 2: Convert to fraction form
   10,493.90/14,481.69 = 5,778.62/x
3. Step 3: Cross multiply
   10,493.90x = 14,481.69 × 5,778.62
4. Step 4: Simplify right side
   10,493.90x = 83,684,183.47
5. Step 5: Solve for x
   x = 83,684,183.47/10,493.90
6. Step 6: Final answer
   x = 7,974.56