Finding the Fourth Proportional to 11,646.69, 16,071.89 and 6,341.49

Step by Step Solution

1. Step 1: Write the proportion equation
   11,646.69 : 16,071.89 = 6,341.49 : x
2. Step 2: Convert to fraction form
   11,646.69/16,071.89 = 6,341.49/x
3. Step 3: Cross multiply
   11,646.69x = 16,071.89 × 6,341.49
4. Step 4: Simplify right side
   11,646.69x = 101,919,698.01
5. Step 5: Solve for x
   x = 101,919,698.01/11,646.69
6. Step 6: Final answer
   x = 8,750.96