Finding the Fourth Proportional to 2,582.24, 3,872.51 and 1,396.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.24 : 3,872.51 = 1,396.06 : x
2. Step 2: Convert to fraction form
   2,582.24/3,872.51 = 1,396.06/x
3. Step 3: Cross multiply
   2,582.24x = 3,872.51 × 1,396.06
4. Step 4: Simplify right side
   2,582.24x = 5,406,256.31
5. Step 5: Solve for x
   x = 5,406,256.31/2,582.24
6. Step 6: Final answer
   x = 2,093.63