Finding the Fourth Proportional to 9,833.92, 13,570.24 and 5,641.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,833.92 : 13,570.24 = 5,641.60 : x
2. Step 2: Convert to fraction form
   9,833.92/13,570.24 = 5,641.60/x
3. Step 3: Cross multiply
   9,833.92x = 13,570.24 × 5,641.60
4. Step 4: Simplify right side
   9,833.92x = 76,557,865.98
5. Step 5: Solve for x
   x = 76,557,865.98/9,833.92
6. Step 6: Final answer
   x = 7,785.08