Finding the Fourth Proportional to 9,626.05, 13,285.10 and 5,849.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,626.05 : 13,285.10 = 5,849.83 : x
2. Step 2: Convert to fraction form
   9,626.05/13,285.10 = 5,849.83/x
3. Step 3: Cross multiply
   9,626.05x = 13,285.10 × 5,849.83
4. Step 4: Simplify right side
   9,626.05x = 77,715,576.53
5. Step 5: Solve for x
   x = 77,715,576.53/9,626.05
6. Step 6: Final answer
   x = 8,073.46