Finding the Fourth Proportional to 10,119.54, 13,964.88 and 5,643.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,119.54 : 13,964.88 = 5,643.33 : x
2. Step 2: Convert to fraction form
   10,119.54/13,964.88 = 5,643.33/x
3. Step 3: Cross multiply
   10,119.54x = 13,964.88 × 5,643.33
4. Step 4: Simplify right side
   10,119.54x = 78,808,426.25
5. Step 5: Solve for x
   x = 78,808,426.25/10,119.54
6. Step 6: Final answer
   x = 7,787.75