Finding the Fourth Proportional to 10,119.75, 13,965.32 and 5,643.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,119.75 : 13,965.32 = 5,643.69 : x
2. Step 2: Convert to fraction form
   10,119.75/13,965.32 = 5,643.69/x
3. Step 3: Cross multiply
   10,119.75x = 13,965.32 × 5,643.69
4. Step 4: Simplify right side
   10,119.75x = 78,815,908.61
5. Step 5: Solve for x
   x = 78,815,908.61/10,119.75
6. Step 6: Final answer
   x = 7,788.33