Finding the Fourth Proportional to 11,596.86, 17,389.46 and 5,674.20

Step by Step Solution

1. Step 1: Write the proportion equation
   11,596.86 : 17,389.46 = 5,674.20 : x
2. Step 2: Convert to fraction form
   11,596.86/17,389.46 = 5,674.20/x
3. Step 3: Cross multiply
   11,596.86x = 17,389.46 × 5,674.20
4. Step 4: Simplify right side
   11,596.86x = 98,671,245.56
5. Step 5: Solve for x
   x = 98,671,245.56/11,596.86
6. Step 6: Final answer
   x = 8,508.45