Finding the Fourth Proportional to 6,743.83, 10,106.02 and 3,816.09

Step by Step Solution

1. Step 1: Write the proportion equation
   6,743.83 : 10,106.02 = 3,816.09 : x
2. Step 2: Convert to fraction form
   6,743.83/10,106.02 = 3,816.09/x
3. Step 3: Cross multiply
   6,743.83x = 10,106.02 × 3,816.09
4. Step 4: Simplify right side
   6,743.83x = 38,565,481.86
5. Step 5: Solve for x
   x = 38,565,481.86/6,743.83
6. Step 6: Final answer
   x = 5,718.63