Finding the Fourth Proportional to 10,007.82, 13,809.83 and 5,530.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,007.82 : 13,809.83 = 5,530.85 : x
2. Step 2: Convert to fraction form
   10,007.82/13,809.83 = 5,530.85/x
3. Step 3: Cross multiply
   10,007.82x = 13,809.83 × 5,530.85
4. Step 4: Simplify right side
   10,007.82x = 76,380,029.21
5. Step 5: Solve for x
   x = 76,380,029.21/10,007.82
6. Step 6: Final answer
   x = 7,632.03