Finding the Fourth Proportional to 10,493.88, 14,481.36 and 5,778.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,493.88 : 14,481.36 = 5,778.06 : x
2. Step 2: Convert to fraction form
   10,493.88/14,481.36 = 5,778.06/x
3. Step 3: Cross multiply
   10,493.88x = 14,481.36 × 5,778.06
4. Step 4: Simplify right side
   10,493.88x = 83,674,166.96
5. Step 5: Solve for x
   x = 83,674,166.96/10,493.88
6. Step 6: Final answer
   x = 7,973.62