Finding the Fourth Proportional to 4,568.42, 6,820.18 and 4,406.42

Step by Step Solution

1. Step 1: Write the proportion equation
   4,568.42 : 6,820.18 = 4,406.42 : x
2. Step 2: Convert to fraction form
   4,568.42/6,820.18 = 4,406.42/x
3. Step 3: Cross multiply
   4,568.42x = 6,820.18 × 4,406.42
4. Step 4: Simplify right side
   4,568.42x = 30,052,577.56
5. Step 5: Solve for x
   x = 30,052,577.56/4,568.42
6. Step 6: Final answer
   x = 6,578.33