Finding the Fourth Proportional to 5,578.58, 7,690.74 and 5,406.05

Step by Step Solution

1. Step 1: Write the proportion equation
   5,578.58 : 7,690.74 = 5,406.05 : x
2. Step 2: Convert to fraction form
   5,578.58/7,690.74 = 5,406.05/x
3. Step 3: Cross multiply
   5,578.58x = 7,690.74 × 5,406.05
4. Step 4: Simplify right side
   5,578.58x = 41,576,524.98
5. Step 5: Solve for x
   x = 41,576,524.98/5,578.58
6. Step 6: Final answer
   x = 7,452.89