Finding the Fourth Proportional to 10,446.54, 14,416.14 and 5,730.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,446.54 : 14,416.14 = 5,730.78 : x
2. Step 2: Convert to fraction form
   10,446.54/14,416.14 = 5,730.78/x
3. Step 3: Cross multiply
   10,446.54x = 14,416.14 × 5,730.78
4. Step 4: Simplify right side
   10,446.54x = 82,615,726.79
5. Step 5: Solve for x
   x = 82,615,726.79/10,446.54
6. Step 6: Final answer
   x = 7,908.43