Finding the Fourth Proportional to 10,141.39, 13,993.73 and 5,664.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141.39 : 13,993.73 = 5,664.57 : x
2. Step 2: Convert to fraction form
   10,141.39/13,993.73 = 5,664.57/x
3. Step 3: Cross multiply
   10,141.39x = 13,993.73 × 5,664.57
4. Step 4: Simplify right side
   10,141.39x = 79,268,463.15
5. Step 5: Solve for x
   x = 79,268,463.15/10,141.39
6. Step 6: Final answer
   x = 7,816.33