Finding the Fourth Proportional to 10,446.65, 14,415.57 and 5,730.92

Step by Step Solution

1. Step 1: Write the proportion equation
   10,446.65 : 14,415.57 = 5,730.92 : x
2. Step 2: Convert to fraction form
   10,446.65/14,415.57 = 5,730.92/x
3. Step 3: Cross multiply
   10,446.65x = 14,415.57 × 5,730.92
4. Step 4: Simplify right side
   10,446.65x = 82,614,478.42
5. Step 5: Solve for x
   x = 82,614,478.42/10,446.65
6. Step 6: Final answer
   x = 7,908.23