Finding the Fourth Proportional to 10,514.04, 14,509.16 and 5,734.04

Step by Step Solution

1. Step 1: Write the proportion equation
   10,514.04 : 14,509.16 = 5,734.04 : x
2. Step 2: Convert to fraction form
   10,514.04/14,509.16 = 5,734.04/x
3. Step 3: Cross multiply
   10,514.04x = 14,509.16 × 5,734.04
4. Step 4: Simplify right side
   10,514.04x = 83,196,103.81
5. Step 5: Solve for x
   x = 83,196,103.81/10,514.04
6. Step 6: Final answer
   x = 7,912.86