Finding the Fourth Proportional to 10,582.16, 15,873.28 and 2,684.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,582.16 : 15,873.28 = 2,684.69 : x
2. Step 2: Convert to fraction form
   10,582.16/15,873.28 = 2,684.69/x
3. Step 3: Cross multiply
   10,582.16x = 15,873.28 × 2,684.69
4. Step 4: Simplify right side
   10,582.16x = 42,614,743.29
5. Step 5: Solve for x
   x = 42,614,743.29/10,582.16
6. Step 6: Final answer
   x = 4,027.04