Finding the Fourth Proportional to 2,584.01, 3,876.86 and 1,024.44

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.01 : 3,876.86 = 1,024.44 : x
2. Step 2: Convert to fraction form
   2,584.01/3,876.86 = 1,024.44/x
3. Step 3: Cross multiply
   2,584.01x = 3,876.86 × 1,024.44
4. Step 4: Simplify right side
   2,584.01x = 3,971,605.34
5. Step 5: Solve for x
   x = 3,971,605.34/2,584.01
6. Step 6: Final answer
   x = 1,537.00