Finding the Fourth Proportional to 6,945.46, 10,413.55 and 3,826.96

Step by Step Solution

1. Step 1: Write the proportion equation
   6,945.46 : 10,413.55 = 3,826.96 : x
2. Step 2: Convert to fraction form
   6,945.46/10,413.55 = 3,826.96/x
3. Step 3: Cross multiply
   6,945.46x = 10,413.55 × 3,826.96
4. Step 4: Simplify right side
   6,945.46x = 39,852,239.31
5. Step 5: Solve for x
   x = 39,852,239.31/6,945.46
6. Step 6: Final answer
   x = 5,737.88