Finding the Fourth Proportional to 6,257.74, 8,633.46 and 3,738.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,257.74 : 8,633.46 = 3,738.10 : x
2. Step 2: Convert to fraction form
   6,257.74/8,633.46 = 3,738.10/x
3. Step 3: Cross multiply
   6,257.74x = 8,633.46 × 3,738.10
4. Step 4: Simplify right side
   6,257.74x = 32,272,736.83
5. Step 5: Solve for x
   x = 32,272,736.83/6,257.74
6. Step 6: Final answer
   x = 5,157.25