Finding the Fourth Proportional to 11,864.42, 16,374.12 and 6,828.83

Step by Step Solution

1. Step 1: Write the proportion equation
   11,864.42 : 16,374.12 = 6,828.83 : x
2. Step 2: Convert to fraction form
   11,864.42/16,374.12 = 6,828.83/x
3. Step 3: Cross multiply
   11,864.42x = 16,374.12 × 6,828.83
4. Step 4: Simplify right side
   11,864.42x = 111,816,081.88
5. Step 5: Solve for x
   x = 111,816,081.88/11,864.42
6. Step 6: Final answer
   x = 9,424.49