Finding the Fourth Proportional to 10,185.27, 14,055.63 and 5,709.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,185.27 : 14,055.63 = 5,709.02 : x
2. Step 2: Convert to fraction form
   10,185.27/14,055.63 = 5,709.02/x
3. Step 3: Cross multiply
   10,185.27x = 14,055.63 × 5,709.02
4. Step 4: Simplify right side
   10,185.27x = 80,243,907.92
5. Step 5: Solve for x
   x = 80,243,907.92/10,185.27
6. Step 6: Final answer
   x = 7,878.43