Finding the Fourth Proportional to 10,446.84, 14,416.92 and 5,731.29

Step by Step Solution

1. Step 1: Write the proportion equation
   10,446.84 : 14,416.92 = 5,731.29 : x
2. Step 2: Convert to fraction form
   10,446.84/14,416.92 = 5,731.29/x
3. Step 3: Cross multiply
   10,446.84x = 14,416.92 × 5,731.29
4. Step 4: Simplify right side
   10,446.84x = 82,627,549.43
5. Step 5: Solve for x
   x = 82,627,549.43/10,446.84
6. Step 6: Final answer
   x = 7,909.33