Finding the Fourth Proportional to 2,559.04, 3,838.72 and 1,020

Step by Step Solution

1. Step 1: Write the proportion equation
   2,559.04 : 3,838.72 = 1,020 : x
2. Step 2: Convert to fraction form
   2,559.04/3,838.72 = 1,020/x
3. Step 3: Cross multiply
   2,559.04x = 3,838.72 × 1,020
4. Step 4: Simplify right side
   2,559.04x = 3,915,494.40
5. Step 5: Solve for x
   x = 3,915,494.40/2,559.04
6. Step 6: Final answer
   x = 1,530.06