Finding the Fourth Proportional to 10,189.86, 14,061.83 and 5,713.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,189.86 : 14,061.83 = 5,713.60 : x
2. Step 2: Convert to fraction form
   10,189.86/14,061.83 = 5,713.60/x
3. Step 3: Cross multiply
   10,189.86x = 14,061.83 × 5,713.60
4. Step 4: Simplify right side
   10,189.86x = 80,343,573.01
5. Step 5: Solve for x
   x = 80,343,573.01/10,189.86
6. Step 6: Final answer
   x = 7,884.66