Finding the Fourth Proportional to 10,446.78, 14,416.74 and 5,731.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,446.78 : 14,416.74 = 5,731.05 : x
2. Step 2: Convert to fraction form
   10,446.78/14,416.74 = 5,731.05/x
3. Step 3: Cross multiply
   10,446.78x = 14,416.74 × 5,731.05
4. Step 4: Simplify right side
   10,446.78x = 82,623,057.78
5. Step 5: Solve for x
   x = 82,623,057.78/10,446.78
6. Step 6: Final answer
   x = 7,908.95