Finding the Fourth Proportional to 10,493.46, 14,481.29 and 5,778.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,493.46 : 14,481.29 = 5,778.02 : x
2. Step 2: Convert to fraction form
   10,493.46/14,481.29 = 5,778.02/x
3. Step 3: Cross multiply
   10,493.46x = 14,481.29 × 5,778.02
4. Step 4: Simplify right side
   10,493.46x = 83,673,183.25
5. Step 5: Solve for x
   x = 83,673,183.25/10,493.46
6. Step 6: Final answer
   x = 7,973.84