Finding the Fourth Proportional to 2,709.29, 3,738.77 and 1,514.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,709.29 : 3,738.77 = 1,514.30 : x
2. Step 2: Convert to fraction form
   2,709.29/3,738.77 = 1,514.30/x
3. Step 3: Cross multiply
   2,709.29x = 3,738.77 × 1,514.30
4. Step 4: Simplify right side
   2,709.29x = 5,661,615.63
5. Step 5: Solve for x
   x = 5,661,615.63/2,709.29
6. Step 6: Final answer
   x = 2,089.71