Finding the Fourth Proportional to 10,141.43, 13,993.79 and 5,664.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141.43 : 13,993.79 = 5,664.61 : x
2. Step 2: Convert to fraction form
   10,141.43/13,993.79 = 5,664.61/x
3. Step 3: Cross multiply
   10,141.43x = 13,993.79 × 5,664.61
4. Step 4: Simplify right side
   10,141.43x = 79,269,362.77
5. Step 5: Solve for x
   x = 79,269,362.77/10,141.43
6. Step 6: Final answer
   x = 7,816.39