Finding the Fourth Proportional to 12,817.18, 17,689.50 and 7,514.14

Step by Step Solution

1. Step 1: Write the proportion equation
   12,817.18 : 17,689.50 = 7,514.14 : x
2. Step 2: Convert to fraction form
   12,817.18/17,689.50 = 7,514.14/x
3. Step 3: Cross multiply
   12,817.18x = 17,689.50 × 7,514.14
4. Step 4: Simplify right side
   12,817.18x = 132,921,379.53
5. Step 5: Solve for x
   x = 132,921,379.53/12,817.18
6. Step 6: Final answer
   x = 10,370.56