Finding the Fourth Proportional to 11,654.65, 17,462.53 and 8,185.69

Step by Step Solution

1. Step 1: Write the proportion equation
   11,654.65 : 17,462.53 = 8,185.69 : x
2. Step 2: Convert to fraction form
   11,654.65/17,462.53 = 8,185.69/x
3. Step 3: Cross multiply
   11,654.65x = 17,462.53 × 8,185.69
4. Step 4: Simplify right side
   11,654.65x = 142,942,857.20
5. Step 5: Solve for x
   x = 142,942,857.20/11,654.65
6. Step 6: Final answer
   x = 12,264.88