Finding the Fourth Proportional to 4,002.56, 5,963.62 and 3,779

Step by Step Solution

1. Step 1: Write the proportion equation
   4,002.56 : 5,963.62 = 3,779 : x
2. Step 2: Convert to fraction form
   4,002.56/5,963.62 = 3,779/x
3. Step 3: Cross multiply
   4,002.56x = 5,963.62 × 3,779
4. Step 4: Simplify right side
   4,002.56x = 22,536,519.98
5. Step 5: Solve for x
   x = 22,536,519.98/4,002.56
6. Step 6: Final answer
   x = 5,630.53