Finding the Fourth Proportional to 10,141.53, 13,993.68 and 5,665.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141.53 : 13,993.68 = 5,665.05 : x
2. Step 2: Convert to fraction form
   10,141.53/13,993.68 = 5,665.05/x
3. Step 3: Cross multiply
   10,141.53x = 13,993.68 × 5,665.05
4. Step 4: Simplify right side
   10,141.53x = 79,274,896.88
5. Step 5: Solve for x
   x = 79,274,896.88/10,141.53
6. Step 6: Final answer
   x = 7,816.86