Finding the Fourth Proportional to 11,617.11, 17,414.73 and 5,768.10

Step by Step Solution

1. Step 1: Write the proportion equation
   11,617.11 : 17,414.73 = 5,768.10 : x
2. Step 2: Convert to fraction form
   11,617.11/17,414.73 = 5,768.10/x
3. Step 3: Cross multiply
   11,617.11x = 17,414.73 × 5,768.10
4. Step 4: Simplify right side
   11,617.11x = 100,449,904.11
5. Step 5: Solve for x
   x = 100,449,904.11/11,617.11
6. Step 6: Final answer
   x = 8,646.72