Finding the Fourth Proportional to 10,447.34, 14,416.47 and 5,731.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,447.34 : 14,416.47 = 5,731.62 : x
2. Step 2: Convert to fraction form
   10,447.34/14,416.47 = 5,731.62/x
3. Step 3: Cross multiply
   10,447.34x = 14,416.47 × 5,731.62
4. Step 4: Simplify right side
   10,447.34x = 82,629,727.78
5. Step 5: Solve for x
   x = 82,629,727.78/10,447.34
6. Step 6: Final answer
   x = 7,909.16