Finding the Fourth Proportional to 2,589.54, 3,881.78 and 1,029.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,589.54 : 3,881.78 = 1,029.02 : x
2. Step 2: Convert to fraction form
   2,589.54/3,881.78 = 1,029.02/x
3. Step 3: Cross multiply
   2,589.54x = 3,881.78 × 1,029.02
4. Step 4: Simplify right side
   2,589.54x = 3,994,429.26
5. Step 5: Solve for x
   x = 3,994,429.26/2,589.54
6. Step 6: Final answer
   x = 1,542.52