Finding the Fourth Proportional to 10,493.89, 14,481.71 and 5,778.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,493.89 : 14,481.71 = 5,778.52 : x
2. Step 2: Convert to fraction form
   10,493.89/14,481.71 = 5,778.52/x
3. Step 3: Cross multiply
   10,493.89x = 14,481.71 × 5,778.52
4. Step 4: Simplify right side
   10,493.89x = 83,682,821.98
5. Step 5: Solve for x
   x = 83,682,821.98/10,493.89
6. Step 6: Final answer
   x = 7,974.43