Finding the Fourth Proportional to 11,591.86, 17,389.52 and 4,198.05

Step by Step Solution

1. Step 1: Write the proportion equation
   11,591.86 : 17,389.52 = 4,198.05 : x
2. Step 2: Convert to fraction form
   11,591.86/17,389.52 = 4,198.05/x
3. Step 3: Cross multiply
   11,591.86x = 17,389.52 × 4,198.05
4. Step 4: Simplify right side
   11,591.86x = 73,002,074.44
5. Step 5: Solve for x
   x = 73,002,074.44/11,591.86
6. Step 6: Final answer
   x = 6,297.70