Finding the Fourth Proportional to 11,894.69, 16,414.71 and 6,589.46

Step by Step Solution

1. Step 1: Write the proportion equation
   11,894.69 : 16,414.71 = 6,589.46 : x
2. Step 2: Convert to fraction form
   11,894.69/16,414.71 = 6,589.46/x
3. Step 3: Cross multiply
   11,894.69x = 16,414.71 × 6,589.46
4. Step 4: Simplify right side
   11,894.69x = 108,164,074.96
5. Step 5: Solve for x
   x = 108,164,074.96/11,894.69
6. Step 6: Final answer
   x = 9,093.48