Finding the Fourth Proportional to 11,662.16, 17,498.38 and 6,114.18

Step by Step Solution

1. Step 1: Write the proportion equation
   11,662.16 : 17,498.38 = 6,114.18 : x
2. Step 2: Convert to fraction form
   11,662.16/17,498.38 = 6,114.18/x
3. Step 3: Cross multiply
   11,662.16x = 17,498.38 × 6,114.18
4. Step 4: Simplify right side
   11,662.16x = 106,988,245.03
5. Step 5: Solve for x
   x = 106,988,245.03/11,662.16
6. Step 6: Final answer
   x = 9,173.96