Finding the Fourth Proportional to 2,641.04, 3,941.62 and 2,571.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.04 : 3,941.62 = 2,571.92 : x
2. Step 2: Convert to fraction form
   2,641.04/3,941.62 = 2,571.92/x
3. Step 3: Cross multiply
   2,641.04x = 3,941.62 × 2,571.92
4. Step 4: Simplify right side
   2,641.04x = 10,137,531.31
5. Step 5: Solve for x
   x = 10,137,531.31/2,641.04
6. Step 6: Final answer
   x = 3,838.46