Finding the Fourth Proportional to 10,493.58, 14,481.33 and 5,713.67

Step by Step Solution

1. Step 1: Write the proportion equation
   10,493.58 : 14,481.33 = 5,713.67 : x
2. Step 2: Convert to fraction form
   10,493.58/14,481.33 = 5,713.67/x
3. Step 3: Cross multiply
   10,493.58x = 14,481.33 × 5,713.67
4. Step 4: Simplify right side
   10,493.58x = 82,741,468.37
5. Step 5: Solve for x
   x = 82,741,468.37/10,493.58
6. Step 6: Final answer
   x = 7,884.96