Finding the Fourth Proportional to 10,493.76, 14,481.42 and 5,778.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,493.76 : 14,481.42 = 5,778.48 : x
2. Step 2: Convert to fraction form
   10,493.76/14,481.42 = 5,778.48/x
3. Step 3: Cross multiply
   10,493.76x = 14,481.42 × 5,778.48
4. Step 4: Simplify right side
   10,493.76x = 83,680,595.84
5. Step 5: Solve for x
   x = 83,680,595.84/10,493.76
6. Step 6: Final answer
   x = 7,974.32