Finding the Fourth Proportional to 3,641.40, 5,466.15 and 2,256.30

Step by Step Solution

1. Step 1: Write the proportion equation
   3,641.40 : 5,466.15 = 2,256.30 : x
2. Step 2: Convert to fraction form
   3,641.40/5,466.15 = 2,256.30/x
3. Step 3: Cross multiply
   3,641.40x = 5,466.15 × 2,256.30
4. Step 4: Simplify right side
   3,641.40x = 12,333,274.25
5. Step 5: Solve for x
   x = 12,333,274.25/3,641.40
6. Step 6: Final answer
   x = 3,386.96