Finding the Fourth Proportional to 9,835.81, 13,571.89 and 5,643.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,835.81 : 13,571.89 = 5,643.25 : x
2. Step 2: Convert to fraction form
   9,835.81/13,571.89 = 5,643.25/x
3. Step 3: Cross multiply
   9,835.81x = 13,571.89 × 5,643.25
4. Step 4: Simplify right side
   9,835.81x = 76,589,568.24
5. Step 5: Solve for x
   x = 76,589,568.24/9,835.81
6. Step 6: Final answer
   x = 7,786.81