Finding the Fourth Proportional to 10,514.27, 14,509.40 and 5,734.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,514.27 : 14,509.40 = 5,734.35 : x
2. Step 2: Convert to fraction form
   10,514.27/14,509.40 = 5,734.35/x
3. Step 3: Cross multiply
   10,514.27x = 14,509.40 × 5,734.35
4. Step 4: Simplify right side
   10,514.27x = 83,201,949.22
5. Step 5: Solve for x
   x = 83,201,949.22/10,514.27
6. Step 6: Final answer
   x = 7,913.24