Finding the Fourth Proportional to 10,185.46, 14,055.69 and 5,709.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,185.46 : 14,055.69 = 5,709.40 : x
2. Step 2: Convert to fraction form
   10,185.46/14,055.69 = 5,709.40/x
3. Step 3: Cross multiply
   10,185.46x = 14,055.69 × 5,709.40
4. Step 4: Simplify right side
   10,185.46x = 80,249,556.49
5. Step 5: Solve for x
   x = 80,249,556.49/10,185.46
6. Step 6: Final answer
   x = 7,878.83