Finding the Fourth Proportional to 2,582.79, 3,872.63 and 1,023.01

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.79 : 3,872.63 = 1,023.01 : x
2. Step 2: Convert to fraction form
   2,582.79/3,872.63 = 1,023.01/x
3. Step 3: Cross multiply
   2,582.79x = 3,872.63 × 1,023.01
4. Step 4: Simplify right side
   2,582.79x = 3,961,719.85
5. Step 5: Solve for x
   x = 3,961,719.85/2,582.79
6. Step 6: Final answer
   x = 1,533.89