Finding the Fourth Proportional to 10,446.42, 14,416.29 and 5,730.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,446.42 : 14,416.29 = 5,730.72 : x
2. Step 2: Convert to fraction form
   10,446.42/14,416.29 = 5,730.72/x
3. Step 3: Cross multiply
   10,446.42x = 14,416.29 × 5,730.72
4. Step 4: Simplify right side
   10,446.42x = 82,615,721.43
5. Step 5: Solve for x
   x = 82,615,721.43/10,446.42
6. Step 6: Final answer
   x = 7,908.52