Finding the Fourth Proportional to 5,641.98, 8,456.49 and 2,557.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,641.98 : 8,456.49 = 2,557.50 : x
2. Step 2: Convert to fraction form
   5,641.98/8,456.49 = 2,557.50/x
3. Step 3: Cross multiply
   5,641.98x = 8,456.49 × 2,557.50
4. Step 4: Simplify right side
   5,641.98x = 21,627,473.18
5. Step 5: Solve for x
   x = 21,627,473.18/5,641.98
6. Step 6: Final answer
   x = 3,833.31