Finding the Fourth Proportional to 12,814.75, 17,683.96 and 7,513.10

Step by Step Solution

1. Step 1: Write the proportion equation
   12,814.75 : 17,683.96 = 7,513.10 : x
2. Step 2: Convert to fraction form
   12,814.75/17,683.96 = 7,513.10/x
3. Step 3: Cross multiply
   12,814.75x = 17,683.96 × 7,513.10
4. Step 4: Simplify right side
   12,814.75x = 132,861,341.09
5. Step 5: Solve for x
   x = 132,861,341.09/12,814.75
6. Step 6: Final answer
   x = 10,367.84