Finding the Fourth Proportional to 2,589.12, 3,882.24 and 1,290.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,589.12 : 3,882.24 = 1,290.24 : x
2. Step 2: Convert to fraction form
   2,589.12/3,882.24 = 1,290.24/x
3. Step 3: Cross multiply
   2,589.12x = 3,882.24 × 1,290.24
4. Step 4: Simplify right side
   2,589.12x = 5,009,021.34
5. Step 5: Solve for x
   x = 5,009,021.34/2,589.12
6. Step 6: Final answer
   x = 1,934.64