Finding the Fourth Proportional to 10,494.06, 14,481.90 and 5,778.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,494.06 : 14,481.90 = 5,778.42 : x
2. Step 2: Convert to fraction form
   10,494.06/14,481.90 = 5,778.42/x
3. Step 3: Cross multiply
   10,494.06x = 14,481.90 × 5,778.42
4. Step 4: Simplify right side
   10,494.06x = 83,682,500.60
5. Step 5: Solve for x
   x = 83,682,500.60/10,494.06
6. Step 6: Final answer
   x = 7,974.27