Finding the Fourth Proportional to 6,077.10, 8,369.55 and 4,677.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,077.10 : 8,369.55 = 4,677.42 : x
2. Step 2: Convert to fraction form
   6,077.10/8,369.55 = 4,677.42/x
3. Step 3: Cross multiply
   6,077.10x = 8,369.55 × 4,677.42
4. Step 4: Simplify right side
   6,077.10x = 39,147,900.56
5. Step 5: Solve for x
   x = 39,147,900.56/6,077.10
6. Step 6: Final answer
   x = 6,441.87