Finding the Fourth Proportional to 10,119.25, 13,964.63 and 5,643.19

Step by Step Solution

1. Step 1: Write the proportion equation
   10,119.25 : 13,964.63 = 5,643.19 : x
2. Step 2: Convert to fraction form
   10,119.25/13,964.63 = 5,643.19/x
3. Step 3: Cross multiply
   10,119.25x = 13,964.63 × 5,643.19
4. Step 4: Simplify right side
   10,119.25x = 78,805,049.61
5. Step 5: Solve for x
   x = 78,805,049.61/10,119.25
6. Step 6: Final answer
   x = 7,787.64