Finding the Fourth Proportional to 10,189.80, 14,061.74 and 5,713.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,189.80 : 14,061.74 = 5,713.54 : x
2. Step 2: Convert to fraction form
   10,189.80/14,061.74 = 5,713.54/x
3. Step 3: Cross multiply
   10,189.80x = 14,061.74 × 5,713.54
4. Step 4: Simplify right side
   10,189.80x = 80,342,293.09
5. Step 5: Solve for x
   x = 80,342,293.09/10,189.80
6. Step 6: Final answer
   x = 7,884.58