Finding the Fourth Proportional to 10,493.97, 14,481.02 and 5,778.26

Step by Step Solution

1. Step 1: Write the proportion equation
   10,493.97 : 14,481.02 = 5,778.26 : x
2. Step 2: Convert to fraction form
   10,493.97/14,481.02 = 5,778.26/x
3. Step 3: Cross multiply
   10,493.97x = 14,481.02 × 5,778.26
4. Step 4: Simplify right side
   10,493.97x = 83,674,997.33
5. Step 5: Solve for x
   x = 83,674,997.33/10,493.97
6. Step 6: Final answer
   x = 7,973.63