Finding the Fourth Proportional to 10,034.82, 13,849.77 and 5,785.11

Step by Step Solution

1. Step 1: Write the proportion equation
   10,034.82 : 13,849.77 = 5,785.11 : x
2. Step 2: Convert to fraction form
   10,034.82/13,849.77 = 5,785.11/x
3. Step 3: Cross multiply
   10,034.82x = 13,849.77 × 5,785.11
4. Step 4: Simplify right side
   10,034.82x = 80,122,477.55
5. Step 5: Solve for x
   x = 80,122,477.55/10,034.82
6. Step 6: Final answer
   x = 7,984.44