Finding the Fourth Proportional to 6,604.82, 9,906.42 and 3,833

Step by Step Solution

1. Step 1: Write the proportion equation
   6,604.82 : 9,906.42 = 3,833 : x
2. Step 2: Convert to fraction form
   6,604.82/9,906.42 = 3,833/x
3. Step 3: Cross multiply
   6,604.82x = 9,906.42 × 3,833
4. Step 4: Simplify right side
   6,604.82x = 37,971,307.86
5. Step 5: Solve for x
   x = 37,971,307.86/6,604.82
6. Step 6: Final answer
   x = 5,749.03