Finding the Fourth Proportional to 2,584.30, 3,875.80 and 1,023.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.30 : 3,875.80 = 1,023.76 : x
2. Step 2: Convert to fraction form
   2,584.30/3,875.80 = 1,023.76/x
3. Step 3: Cross multiply
   2,584.30x = 3,875.80 × 1,023.76
4. Step 4: Simplify right side
   2,584.30x = 3,967,883.89
5. Step 5: Solve for x
   x = 3,967,883.89/2,584.30
6. Step 6: Final answer
   x = 1,535.38