Finding the Fourth Proportional to 10,189.67, 14,061.47 and 5,713.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,189.67 : 14,061.47 = 5,713.70 : x
2. Step 2: Convert to fraction form
   10,189.67/14,061.47 = 5,713.70/x
3. Step 3: Cross multiply
   10,189.67x = 14,061.47 × 5,713.70
4. Step 4: Simplify right side
   10,189.67x = 80,342,922.26
5. Step 5: Solve for x
   x = 80,342,922.26/10,189.67
6. Step 6: Final answer
   x = 7,884.75