Finding the Fourth Proportional to 10,189.82, 14,061.63 and 5,713.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,189.82 : 14,061.63 = 5,713.83 : x
2. Step 2: Convert to fraction form
   10,189.82/14,061.63 = 5,713.83/x
3. Step 3: Cross multiply
   10,189.82x = 14,061.63 × 5,713.83
4. Step 4: Simplify right side
   10,189.82x = 80,345,763.34
5. Step 5: Solve for x
   x = 80,345,763.34/10,189.82
6. Step 6: Final answer
   x = 7,884.91