Finding the Fourth Proportional to 10,257.54, 14,155.41 and 5,541.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,257.54 : 14,155.41 = 5,541.82 : x
2. Step 2: Convert to fraction form
   10,257.54/14,155.41 = 5,541.82/x
3. Step 3: Cross multiply
   10,257.54x = 14,155.41 × 5,541.82
4. Step 4: Simplify right side
   10,257.54x = 78,446,734.25
5. Step 5: Solve for x
   x = 78,446,734.25/10,257.54
6. Step 6: Final answer
   x = 7,647.71