Finding the Fourth Proportional to 2,584.38, 3,878.16 and 1,024.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.38 : 3,878.16 = 1,024.12 : x
2. Step 2: Convert to fraction form
   2,584.38/3,878.16 = 1,024.12/x
3. Step 3: Cross multiply
   2,584.38x = 3,878.16 × 1,024.12
4. Step 4: Simplify right side
   2,584.38x = 3,971,701.22
5. Step 5: Solve for x
   x = 3,971,701.22/2,584.38
6. Step 6: Final answer
   x = 1,536.81