Finding the Fourth Proportional to 10,582.72, 15,872.88 and 2,685.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,582.72 : 15,872.88 = 2,685.20 : x
2. Step 2: Convert to fraction form
   10,582.72/15,872.88 = 2,685.20/x
3. Step 3: Cross multiply
   10,582.72x = 15,872.88 × 2,685.20
4. Step 4: Simplify right side
   10,582.72x = 42,621,857.38
5. Step 5: Solve for x
   x = 42,621,857.38/10,582.72
6. Step 6: Final answer
   x = 4,027.50