Finding the Fourth Proportional to 10,185.39, 14,055.70 and 5,709.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,185.39 : 14,055.70 = 5,709.13 : x
2. Step 2: Convert to fraction form
   10,185.39/14,055.70 = 5,709.13/x
3. Step 3: Cross multiply
   10,185.39x = 14,055.70 × 5,709.13
4. Step 4: Simplify right side
   10,185.39x = 80,245,818.54
5. Step 5: Solve for x
   x = 80,245,818.54/10,185.39
6. Step 6: Final answer
   x = 7,878.52