Finding the Fourth Proportional to 10,189.29, 14,061.09 and 5,713.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,189.29 : 14,061.09 = 5,713.08 : x
2. Step 2: Convert to fraction form
   10,189.29/14,061.09 = 5,713.08/x
3. Step 3: Cross multiply
   10,189.29x = 14,061.09 × 5,713.08
4. Step 4: Simplify right side
   10,189.29x = 80,332,179.85
5. Step 5: Solve for x
   x = 80,332,179.85/10,189.29
6. Step 6: Final answer
   x = 7,883.98