Finding the Fourth Proportional to 10,141.11, 13,995.27 and 5,664.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141.11 : 13,995.27 = 5,664.96 : x
2. Step 2: Convert to fraction form
   10,141.11/13,995.27 = 5,664.96/x
3. Step 3: Cross multiply
   10,141.11x = 13,995.27 × 5,664.96
4. Step 4: Simplify right side
   10,141.11x = 79,282,644.74
5. Step 5: Solve for x
   x = 79,282,644.74/10,141.11
6. Step 6: Final answer
   x = 7,817.95