Finding the Fourth Proportional to 10,494.02, 14,481.24 and 5,778.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,494.02 : 14,481.24 = 5,778.20 : x
2. Step 2: Convert to fraction form
   10,494.02/14,481.24 = 5,778.20/x
3. Step 3: Cross multiply
   10,494.02x = 14,481.24 × 5,778.20
4. Step 4: Simplify right side
   10,494.02x = 83,675,500.97
5. Step 5: Solve for x
   x = 83,675,500.97/10,494.02
6. Step 6: Final answer
   x = 7,973.64