Finding the Fourth Proportional to 10,099.14, 13,934.69 and 5,849.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,099.14 : 13,934.69 = 5,849.94 : x
2. Step 2: Convert to fraction form
   10,099.14/13,934.69 = 5,849.94/x
3. Step 3: Cross multiply
   10,099.14x = 13,934.69 × 5,849.94
4. Step 4: Simplify right side
   10,099.14x = 81,517,145.36
5. Step 5: Solve for x
   x = 81,517,145.36/10,099.14
6. Step 6: Final answer
   x = 8,071.69