Finding the Fourth Proportional to 10,206.24, 15,294.72 and 5,814.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,206.24 : 15,294.72 = 5,814.62 : x
2. Step 2: Convert to fraction form
   10,206.24/15,294.72 = 5,814.62/x
3. Step 3: Cross multiply
   10,206.24x = 15,294.72 × 5,814.62
4. Step 4: Simplify right side
   10,206.24x = 88,932,984.81
5. Step 5: Solve for x
   x = 88,932,984.81/10,206.24
6. Step 6: Final answer
   x = 8,713.59