Finding the Fourth Proportional to 10,446.46, 14,415.94 and 5,730.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,446.46 : 14,415.94 = 5,730.64 : x
2. Step 2: Convert to fraction form
   10,446.46/14,415.94 = 5,730.64/x
3. Step 3: Cross multiply
   10,446.46x = 14,415.94 × 5,730.64
4. Step 4: Simplify right side
   10,446.46x = 82,612,549.89
5. Step 5: Solve for x
   x = 82,612,549.89/10,446.46
6. Step 6: Final answer
   x = 7,908.19