Finding the Fourth Proportional to 11,662.10, 17,498.32 and 6,114.12

Step by Step Solution

1. Step 1: Write the proportion equation
   11,662.10 : 17,498.32 = 6,114.12 : x
2. Step 2: Convert to fraction form
   11,662.10/17,498.32 = 6,114.12/x
3. Step 3: Cross multiply
   11,662.10x = 17,498.32 × 6,114.12
4. Step 4: Simplify right side
   11,662.10x = 106,986,828.28
5. Step 5: Solve for x
   x = 106,986,828.28/11,662.10
6. Step 6: Final answer
   x = 9,173.89