Finding the Fourth Proportional to 9,832.08, 13,568.60 and 5,583.33

Step by Step Solution

1. Step 1: Write the proportion equation
   9,832.08 : 13,568.60 = 5,583.33 : x
2. Step 2: Convert to fraction form
   9,832.08/13,568.60 = 5,583.33/x
3. Step 3: Cross multiply
   9,832.08x = 13,568.60 × 5,583.33
4. Step 4: Simplify right side
   9,832.08x = 75,757,943.52
5. Step 5: Solve for x
   x = 75,757,943.52/9,832.08
6. Step 6: Final answer
   x = 7,705.18