Finding the Fourth Proportional to 9,834.81, 13,570.52 and 5,642.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,834.81 : 13,570.52 = 5,642.25 : x
2. Step 2: Convert to fraction form
   9,834.81/13,570.52 = 5,642.25/x
3. Step 3: Cross multiply
   9,834.81x = 13,570.52 × 5,642.25
4. Step 4: Simplify right side
   9,834.81x = 76,568,238.26
5. Step 5: Solve for x
   x = 76,568,238.26/9,834.81
6. Step 6: Final answer
   x = 7,785.43