Finding the Fourth Proportional to 2,469.60, 3,408.03 and 1,585.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,469.60 : 3,408.03 = 1,585.74 : x
2. Step 2: Convert to fraction form
   2,469.60/3,408.03 = 1,585.74/x
3. Step 3: Cross multiply
   2,469.60x = 3,408.03 × 1,585.74
4. Step 4: Simplify right side
   2,469.60x = 5,404,249.49
5. Step 5: Solve for x
   x = 5,404,249.49/2,469.60
6. Step 6: Final answer
   x = 2,188.31