Finding the Fourth Proportional to 2,585.14, 3,567.22 and 1,522.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.14 : 3,567.22 = 1,522.83 : x
2. Step 2: Convert to fraction form
   2,585.14/3,567.22 = 1,522.83/x
3. Step 3: Cross multiply
   2,585.14x = 3,567.22 × 1,522.83
4. Step 4: Simplify right side
   2,585.14x = 5,432,279.20
5. Step 5: Solve for x
   x = 5,432,279.20/2,585.14
6. Step 6: Final answer
   x = 2,101.35