Finding the Fourth Proportional to 2,584.18, 3,872.22 and 1,023.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.18 : 3,872.22 = 1,023.34 : x
2. Step 2: Convert to fraction form
   2,584.18/3,872.22 = 1,023.34/x
3. Step 3: Cross multiply
   2,584.18x = 3,872.22 × 1,023.34
4. Step 4: Simplify right side
   2,584.18x = 3,962,597.61
5. Step 5: Solve for x
   x = 3,962,597.61/2,584.18
6. Step 6: Final answer
   x = 1,533.41