Finding the Fourth Proportional to 10,413.81, 14,371.06 and 5,698.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,413.81 : 14,371.06 = 5,698.09 : x
2. Step 2: Convert to fraction form
   10,413.81/14,371.06 = 5,698.09/x
3. Step 3: Cross multiply
   10,413.81x = 14,371.06 × 5,698.09
4. Step 4: Simplify right side
   10,413.81x = 81,887,654.29
5. Step 5: Solve for x
   x = 81,887,654.29/10,413.81
6. Step 6: Final answer
   x = 7,863.37