Finding the Fourth Proportional to 10,119.26, 13,964.00 and 5,643.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,119.26 : 13,964.00 = 5,643.20 : x
2. Step 2: Convert to fraction form
   10,119.26/13,964.00 = 5,643.20/x
3. Step 3: Cross multiply
   10,119.26x = 13,964.00 × 5,643.20
4. Step 4: Simplify right side
   10,119.26x = 78,801,651.49
5. Step 5: Solve for x
   x = 78,801,651.49/10,119.26
6. Step 6: Final answer
   x = 7,787.29