Finding the Fourth Proportional to 10,033.96, 13,846.83 and 5,785

Step by Step Solution

1. Step 1: Write the proportion equation
   10,033.96 : 13,846.83 = 5,785 : x
2. Step 2: Convert to fraction form
   10,033.96/13,846.83 = 5,785/x
3. Step 3: Cross multiply
   10,033.96x = 13,846.83 × 5,785
4. Step 4: Simplify right side
   10,033.96x = 80,103,911.55
5. Step 5: Solve for x
   x = 80,103,911.55/10,033.96
6. Step 6: Final answer
   x = 7,983.28