Finding the Fourth Proportional to 10,119.50, 13,964.91 and 5,643.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,119.50 : 13,964.91 = 5,643.15 : x
2. Step 2: Convert to fraction form
   10,119.50/13,964.91 = 5,643.15/x
3. Step 3: Cross multiply
   10,119.50x = 13,964.91 × 5,643.15
4. Step 4: Simplify right side
   10,119.50x = 78,806,081.87
5. Step 5: Solve for x
   x = 78,806,081.87/10,119.50
6. Step 6: Final answer
   x = 7,787.55