Finding the Fourth Proportional to 11,617.17, 17,408.74 and 5,762.09

Step by Step Solution

1. Step 1: Write the proportion equation
   11,617.17 : 17,408.74 = 5,762.09 : x
2. Step 2: Convert to fraction form
   11,617.17/17,408.74 = 5,762.09/x
3. Step 3: Cross multiply
   11,617.17x = 17,408.74 × 5,762.09
4. Step 4: Simplify right side
   11,617.17x = 100,310,726.67
5. Step 5: Solve for x
   x = 100,310,726.67/11,617.17
6. Step 6: Final answer
   x = 8,634.70