Finding the Fourth Proportional to 11,684.83, 16,105.86 and 8,282.98

Step by Step Solution

1. Step 1: Write the proportion equation
   11,684.83 : 16,105.86 = 8,282.98 : x
2. Step 2: Convert to fraction form
   11,684.83/16,105.86 = 8,282.98/x
3. Step 3: Cross multiply
   11,684.83x = 16,105.86 × 8,282.98
4. Step 4: Simplify right side
   11,684.83x = 133,404,516.26
5. Step 5: Solve for x
   x = 133,404,516.26/11,684.83
6. Step 6: Final answer
   x = 11,416.90