Finding the Fourth Proportional to 2,558.52, 3,838.58 and 1,019.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,558.52 : 3,838.58 = 1,019.52 : x
2. Step 2: Convert to fraction form
   2,558.52/3,838.58 = 1,019.52/x
3. Step 3: Cross multiply
   2,558.52x = 3,838.58 × 1,019.52
4. Step 4: Simplify right side
   2,558.52x = 3,913,509.08
5. Step 5: Solve for x
   x = 3,913,509.08/2,558.52
6. Step 6: Final answer
   x = 1,529.60