Finding the Fourth Proportional to 5,942.86, 8,202.50 and 3,426.42

Step by Step Solution

1. Step 1: Write the proportion equation
   5,942.86 : 8,202.50 = 3,426.42 : x
2. Step 2: Convert to fraction form
   5,942.86/8,202.50 = 3,426.42/x
3. Step 3: Cross multiply
   5,942.86x = 8,202.50 × 3,426.42
4. Step 4: Simplify right side
   5,942.86x = 28,105,210.05
5. Step 5: Solve for x
   x = 28,105,210.05/5,942.86
6. Step 6: Final answer
   x = 4,729.24