Finding the Fourth Proportional to 6,266.42, 8,644.63 and 4,142.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,266.42 : 8,644.63 = 4,142.78 : x
2. Step 2: Convert to fraction form
   6,266.42/8,644.63 = 4,142.78/x
3. Step 3: Cross multiply
   6,266.42x = 8,644.63 × 4,142.78
4. Step 4: Simplify right side
   6,266.42x = 35,812,800.27
5. Step 5: Solve for x
   x = 35,812,800.27/6,266.42
6. Step 6: Final answer
   x = 5,715.03