Finding the Fourth Proportional to 3,586.50, 4,947.98 and 2,644.53

Step by Step Solution

1. Step 1: Write the proportion equation
   3,586.50 : 4,947.98 = 2,644.53 : x
2. Step 2: Convert to fraction form
   3,586.50/4,947.98 = 2,644.53/x
3. Step 3: Cross multiply
   3,586.50x = 4,947.98 × 2,644.53
4. Step 4: Simplify right side
   3,586.50x = 13,085,081.55
5. Step 5: Solve for x
   x = 13,085,081.55/3,586.50
6. Step 6: Final answer
   x = 3,648.43