Finding the Fourth Proportional to 10,189.74, 14,061.65 and 5,713.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,189.74 : 14,061.65 = 5,713.47 : x
2. Step 2: Convert to fraction form
   10,189.74/14,061.65 = 5,713.47/x
3. Step 3: Cross multiply
   10,189.74x = 14,061.65 × 5,713.47
4. Step 4: Simplify right side
   10,189.74x = 80,340,815.43
5. Step 5: Solve for x
   x = 80,340,815.43/10,189.74
6. Step 6: Final answer
   x = 7,884.49