Finding the Fourth Proportional to 10,189.89, 14,061.91 and 5,713.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,189.89 : 14,061.91 = 5,713.63 : x
2. Step 2: Convert to fraction form
   10,189.89/14,061.91 = 5,713.63/x
3. Step 3: Cross multiply
   10,189.89x = 14,061.91 × 5,713.63
4. Step 4: Simplify right side
   10,189.89x = 80,344,550.83
5. Step 5: Solve for x
   x = 80,344,550.83/10,189.89
6. Step 6: Final answer
   x = 7,884.73