Finding the Fourth Proportional to 10,119.75, 13,964.96 and 5,643.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,119.75 : 13,964.96 = 5,643.41 : x
2. Step 2: Convert to fraction form
   10,119.75/13,964.96 = 5,643.41/x
3. Step 3: Cross multiply
   10,119.75x = 13,964.96 × 5,643.41
4. Step 4: Simplify right side
   10,119.75x = 78,809,896.87
5. Step 5: Solve for x
   x = 78,809,896.87/10,119.75
6. Step 6: Final answer
   x = 7,787.73