Finding the Fourth Proportional to 10,198.62, 14,074.82 and 5,661.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,198.62 : 14,074.82 = 5,661.54 : x
2. Step 2: Convert to fraction form
   10,198.62/14,074.82 = 5,661.54/x
3. Step 3: Cross multiply
   10,198.62x = 14,074.82 × 5,661.54
4. Step 4: Simplify right side
   10,198.62x = 79,685,156.42
5. Step 5: Solve for x
   x = 79,685,156.42/10,198.62
6. Step 6: Final answer
   x = 7,813.33