Finding the Fourth Proportional to 11,823.62, 16,316.61 and 6,446.10

Step by Step Solution

1. Step 1: Write the proportion equation
   11,823.62 : 16,316.61 = 6,446.10 : x
2. Step 2: Convert to fraction form
   11,823.62/16,316.61 = 6,446.10/x
3. Step 3: Cross multiply
   11,823.62x = 16,316.61 × 6,446.10
4. Step 4: Simplify right side
   11,823.62x = 105,178,499.72
5. Step 5: Solve for x
   x = 105,178,499.72/11,823.62
6. Step 6: Final answer
   x = 8,895.63