Finding the Fourth Proportional to 10,446.66, 14,416.38 and 5,730.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,446.66 : 14,416.38 = 5,730.84 : x
2. Step 2: Convert to fraction form
   10,446.66/14,416.38 = 5,730.84/x
3. Step 3: Cross multiply
   10,446.66x = 14,416.38 × 5,730.84
4. Step 4: Simplify right side
   10,446.66x = 82,617,967.16
5. Step 5: Solve for x
   x = 82,617,967.16/10,446.66
6. Step 6: Final answer
   x = 7,908.55