Finding the Fourth Proportional to 11,680.83, 16,105.05 and 10,166.13

Step by Step Solution

1. Step 1: Write the proportion equation
   11,680.83 : 16,105.05 = 10,166.13 : x
2. Step 2: Convert to fraction form
   11,680.83/16,105.05 = 10,166.13/x
3. Step 3: Cross multiply
   11,680.83x = 16,105.05 × 10,166.13
4. Step 4: Simplify right side
   11,680.83x = 163,726,031.96
5. Step 5: Solve for x
   x = 163,726,031.96/11,680.83
6. Step 6: Final answer
   x = 14,016.64