Finding the Fourth Proportional to 9,832.05, 13,568.99 and 5,583.87

Step by Step Solution

1. Step 1: Write the proportion equation
   9,832.05 : 13,568.99 = 5,583.87 : x
2. Step 2: Convert to fraction form
   9,832.05/13,568.99 = 5,583.87/x
3. Step 3: Cross multiply
   9,832.05x = 13,568.99 × 5,583.87
4. Step 4: Simplify right side
   9,832.05x = 75,767,448.27
5. Step 5: Solve for x
   x = 75,767,448.27/9,832.05
6. Step 6: Final answer
   x = 7,706.17