Finding the Fourth Proportional to 12,314, 18,470.82 and 5,736.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,314 : 18,470.82 = 5,736.50 : x
2. Step 2: Convert to fraction form
   12,314/18,470.82 = 5,736.50/x
3. Step 3: Cross multiply
   12,314x = 18,470.82 × 5,736.50
4. Step 4: Simplify right side
   12,314x = 105,957,858.93
5. Step 5: Solve for x
   x = 105,957,858.93/12,314
6. Step 6: Final answer
   x = 8,604.67