Finding the Fourth Proportional to 2,641.55, 3,645.81 and 2,509.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.55 : 3,645.81 = 2,509.38 : x
2. Step 2: Convert to fraction form
   2,641.55/3,645.81 = 2,509.38/x
3. Step 3: Cross multiply
   2,641.55x = 3,645.81 × 2,509.38
4. Step 4: Simplify right side
   2,641.55x = 9,148,722.70
5. Step 5: Solve for x
   x = 9,148,722.70/2,641.55
6. Step 6: Final answer
   x = 3,463.40