Finding the Fourth Proportional to 10,446.89, 14,416.33 and 5,731.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,446.89 : 14,416.33 = 5,731.07 : x
2. Step 2: Convert to fraction form
   10,446.89/14,416.33 = 5,731.07/x
3. Step 3: Cross multiply
   10,446.89x = 14,416.33 × 5,731.07
4. Step 4: Simplify right side
   10,446.89x = 82,620,967.72
5. Step 5: Solve for x
   x = 82,620,967.72/10,446.89
6. Step 6: Final answer
   x = 7,908.67