Finding the Fourth Proportional to 6,820.92, 9,413.82 and 5,700.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,820.92 : 9,413.82 = 5,700.06 : x
2. Step 2: Convert to fraction form
   6,820.92/9,413.82 = 5,700.06/x
3. Step 3: Cross multiply
   6,820.92x = 9,413.82 × 5,700.06
4. Step 4: Simplify right side
   6,820.92x = 53,659,338.83
5. Step 5: Solve for x
   x = 53,659,338.83/6,820.92
6. Step 6: Final answer
   x = 7,866.88