Finding the Fourth Proportional to 6,789.42, 10,185.33 and 2,409.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,789.42 : 10,185.33 = 2,409.42 : x
2. Step 2: Convert to fraction form
   6,789.42/10,185.33 = 2,409.42/x
3. Step 3: Cross multiply
   6,789.42x = 10,185.33 × 2,409.42
4. Step 4: Simplify right side
   6,789.42x = 24,540,737.81
5. Step 5: Solve for x
   x = 24,540,737.81/6,789.42
6. Step 6: Final answer
   x = 3,614.56