Finding the Fourth Proportional to 9,198.86, 12,694.29 and 5,661.99

Step by Step Solution

1. Step 1: Write the proportion equation
   9,198.86 : 12,694.29 = 5,661.99 : x
2. Step 2: Convert to fraction form
   9,198.86/12,694.29 = 5,661.99/x
3. Step 3: Cross multiply
   9,198.86x = 12,694.29 × 5,661.99
4. Step 4: Simplify right side
   9,198.86x = 71,874,943.04
5. Step 5: Solve for x
   x = 71,874,943.04/9,198.86
6. Step 6: Final answer
   x = 7,813.47