Finding the Fourth Proportional to 10,098.69, 13,936.61 and 5,849.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,098.69 : 13,936.61 = 5,849.69 : x
2. Step 2: Convert to fraction form
   10,098.69/13,936.61 = 5,849.69/x
3. Step 3: Cross multiply
   10,098.69x = 13,936.61 × 5,849.69
4. Step 4: Simplify right side
   10,098.69x = 81,524,799.38
5. Step 5: Solve for x
   x = 81,524,799.38/10,098.69
6. Step 6: Final answer
   x = 8,072.81