Finding the Fourth Proportional to 10,446.72, 14,416.18 and 5,666.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,446.72 : 14,416.18 = 5,666.46 : x
2. Step 2: Convert to fraction form
   10,446.72/14,416.18 = 5,666.46/x
3. Step 3: Cross multiply
   10,446.72x = 14,416.18 × 5,666.46
4. Step 4: Simplify right side
   10,446.72x = 81,688,639.10
5. Step 5: Solve for x
   x = 81,688,639.10/10,446.72
6. Step 6: Final answer
   x = 7,819.55