Finding the Fourth Proportional to 2,589.60, 3,882.72 and 1,029.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,589.60 : 3,882.72 = 1,029.12 : x
2. Step 2: Convert to fraction form
   2,589.60/3,882.72 = 1,029.12/x
3. Step 3: Cross multiply
   2,589.60x = 3,882.72 × 1,029.12
4. Step 4: Simplify right side
   2,589.60x = 3,995,784.81
5. Step 5: Solve for x
   x = 3,995,784.81/2,589.60
6. Step 6: Final answer
   x = 1,543.01