Finding the Fourth Proportional to 9,832.78, 13,568.71 and 5,583.73

Step by Step Solution

1. Step 1: Write the proportion equation
   9,832.78 : 13,568.71 = 5,583.73 : x
2. Step 2: Convert to fraction form
   9,832.78/13,568.71 = 5,583.73/x
3. Step 3: Cross multiply
   9,832.78x = 13,568.71 × 5,583.73
4. Step 4: Simplify right side
   9,832.78x = 75,764,013.09
5. Step 5: Solve for x
   x = 75,764,013.09/9,832.78
6. Step 6: Final answer
   x = 7,705.25