Finding the Fourth Proportional to 11,616.89, 17,419.16 and 4,596.62

Step by Step Solution

1. Step 1: Write the proportion equation
   11,616.89 : 17,419.16 = 4,596.62 : x
2. Step 2: Convert to fraction form
   11,616.89/17,419.16 = 4,596.62/x
3. Step 3: Cross multiply
   11,616.89x = 17,419.16 × 4,596.62
4. Step 4: Simplify right side
   11,616.89x = 80,069,314.28
5. Step 5: Solve for x
   x = 80,069,314.28/11,616.89
6. Step 6: Final answer
   x = 6,892.49