Finding the Fourth Proportional to 10,446.58, 14,416.28 and 5,730.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,446.58 : 14,416.28 = 5,730.86 : x
2. Step 2: Convert to fraction form
   10,446.58/14,416.28 = 5,730.86/x
3. Step 3: Cross multiply
   10,446.58x = 14,416.28 × 5,730.86
4. Step 4: Simplify right side
   10,446.58x = 82,617,696.73
5. Step 5: Solve for x
   x = 82,617,696.73/10,446.58
6. Step 6: Final answer
   x = 7,908.59