Finding the Fourth Proportional to 10,494.07, 14,481.92 and 5,778.45

Step by Step Solution

1. Step 1: Write the proportion equation
   10,494.07 : 14,481.92 = 5,778.45 : x
2. Step 2: Convert to fraction form
   10,494.07/14,481.92 = 5,778.45/x
3. Step 3: Cross multiply
   10,494.07x = 14,481.92 × 5,778.45
4. Step 4: Simplify right side
   10,494.07x = 83,683,050.62
5. Step 5: Solve for x
   x = 83,683,050.62/10,494.07
6. Step 6: Final answer
   x = 7,974.32