Finding the Fourth Proportional to 11,659.40, 17,494.25 and 6,111.42

Step by Step Solution

1. Step 1: Write the proportion equation
   11,659.40 : 17,494.25 = 6,111.42 : x
2. Step 2: Convert to fraction form
   11,659.40/17,494.25 = 6,111.42/x
3. Step 3: Cross multiply
   11,659.40x = 17,494.25 × 6,111.42
4. Step 4: Simplify right side
   11,659.40x = 106,914,709.34
5. Step 5: Solve for x
   x = 106,914,709.34/11,659.40
6. Step 6: Final answer
   x = 9,169.83