Finding the Fourth Proportional to 2,644.10, 3,641.48 and 2,586.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,644.10 : 3,641.48 = 2,586.69 : x
2. Step 2: Convert to fraction form
   2,644.10/3,641.48 = 2,586.69/x
3. Step 3: Cross multiply
   2,644.10x = 3,641.48 × 2,586.69
4. Step 4: Simplify right side
   2,644.10x = 9,419,374.75
5. Step 5: Solve for x
   x = 9,419,374.75/2,644.10
6. Step 6: Final answer
   x = 3,562.41