Finding the Fourth Proportional to 10,494, 14,481.72 and 5,778.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,494 : 14,481.72 = 5,778.27 : x
2. Step 2: Convert to fraction form
   10,494/14,481.72 = 5,778.27/x
3. Step 3: Cross multiply
   10,494x = 14,481.72 × 5,778.27
4. Step 4: Simplify right side
   10,494x = 83,679,288.22
5. Step 5: Solve for x
   x = 83,679,288.22/10,494
6. Step 6: Final answer
   x = 7,974.01