Finding the Fourth Proportional to 9,829.35, 13,562.39 and 5,849.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,829.35 : 13,562.39 = 5,849.69 : x
2. Step 2: Convert to fraction form
   9,829.35/13,562.39 = 5,849.69/x
3. Step 3: Cross multiply
   9,829.35x = 13,562.39 × 5,849.69
4. Step 4: Simplify right side
   9,829.35x = 79,335,680.10
5. Step 5: Solve for x
   x = 79,335,680.10/9,829.35
6. Step 6: Final answer
   x = 8,071.30