Finding the Fourth Proportional to 11,697.86, 16,138.46 and 7,213.83

Step by Step Solution

1. Step 1: Write the proportion equation
   11,697.86 : 16,138.46 = 7,213.83 : x
2. Step 2: Convert to fraction form
   11,697.86/16,138.46 = 7,213.83/x
3. Step 3: Cross multiply
   11,697.86x = 16,138.46 × 7,213.83
4. Step 4: Simplify right side
   11,697.86x = 116,420,114.62
5. Step 5: Solve for x
   x = 116,420,114.62/11,697.86
6. Step 6: Final answer
   x = 9,952.26