Finding the Fourth Proportional to 2,563.84, 3,839.55 and 1,522.18

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563.84 : 3,839.55 = 1,522.18 : x
2. Step 2: Convert to fraction form
   2,563.84/3,839.55 = 1,522.18/x
3. Step 3: Cross multiply
   2,563.84x = 3,839.55 × 1,522.18
4. Step 4: Simplify right side
   2,563.84x = 5,844,486.22
5. Step 5: Solve for x
   x = 5,844,486.22/2,563.84
6. Step 6: Final answer
   x = 2,279.58