Finding the Fourth Proportional to 11,684.56, 16,097.04 and 8,141.44

Step by Step Solution

1. Step 1: Write the proportion equation
   11,684.56 : 16,097.04 = 8,141.44 : x
2. Step 2: Convert to fraction form
   11,684.56/16,097.04 = 8,141.44/x
3. Step 3: Cross multiply
   11,684.56x = 16,097.04 × 8,141.44
4. Step 4: Simplify right side
   11,684.56x = 131,053,085.34
5. Step 5: Solve for x
   x = 131,053,085.34/11,684.56
6. Step 6: Final answer
   x = 11,215.92