Finding the Fourth Proportional to 10,493.80, 14,481.42 and 5,713.67

Step by Step Solution

1. Step 1: Write the proportion equation
   10,493.80 : 14,481.42 = 5,713.67 : x
2. Step 2: Convert to fraction form
   10,493.80/14,481.42 = 5,713.67/x
3. Step 3: Cross multiply
   10,493.80x = 14,481.42 × 5,713.67
4. Step 4: Simplify right side
   10,493.80x = 82,741,982.60
5. Step 5: Solve for x
   x = 82,741,982.60/10,493.80
6. Step 6: Final answer
   x = 7,884.85