Finding the Fourth Proportional to 10,141.09, 13,995.25 and 5,664.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141.09 : 13,995.25 = 5,664.94 : x
2. Step 2: Convert to fraction form
   10,141.09/13,995.25 = 5,664.94/x
3. Step 3: Cross multiply
   10,141.09x = 13,995.25 × 5,664.94
4. Step 4: Simplify right side
   10,141.09x = 79,282,251.54
5. Step 5: Solve for x
   x = 79,282,251.54/10,141.09
6. Step 6: Final answer
   x = 7,817.92