Finding the Fourth Proportional to 3,764.08, 5,638.47 and 2,282.41

Step by Step Solution

1. Step 1: Write the proportion equation
   3,764.08 : 5,638.47 = 2,282.41 : x
2. Step 2: Convert to fraction form
   3,764.08/5,638.47 = 2,282.41/x
3. Step 3: Cross multiply
   3,764.08x = 5,638.47 × 2,282.41
4. Step 4: Simplify right side
   3,764.08x = 12,869,300.31
5. Step 5: Solve for x
   x = 12,869,300.31/3,764.08
6. Step 6: Final answer
   x = 3,418.98