Finding the Fourth Proportional to 10,098.56, 13,936.50 and 5,849.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,098.56 : 13,936.50 = 5,849.82 : x
2. Step 2: Convert to fraction form
   10,098.56/13,936.50 = 5,849.82/x
3. Step 3: Cross multiply
   10,098.56x = 13,936.50 × 5,849.82
4. Step 4: Simplify right side
   10,098.56x = 81,526,016.43
5. Step 5: Solve for x
   x = 81,526,016.43/10,098.56
6. Step 6: Final answer
   x = 8,073.03