Finding the Fourth Proportional to 11,864.09, 16,373.15 and 6,828.20

Step by Step Solution

1. Step 1: Write the proportion equation
   11,864.09 : 16,373.15 = 6,828.20 : x
2. Step 2: Convert to fraction form
   11,864.09/16,373.15 = 6,828.20/x
3. Step 3: Cross multiply
   11,864.09x = 16,373.15 × 6,828.20
4. Step 4: Simplify right side
   11,864.09x = 111,799,200.83
5. Step 5: Solve for x
   x = 111,799,200.83/11,864.09
6. Step 6: Final answer
   x = 9,423.33