Finding the Fourth Proportional to 2,648.60, 3,654.78 and 1,586.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,648.60 : 3,654.78 = 1,586.24 : x
2. Step 2: Convert to fraction form
   2,648.60/3,654.78 = 1,586.24/x
3. Step 3: Cross multiply
   2,648.60x = 3,654.78 × 1,586.24
4. Step 4: Simplify right side
   2,648.60x = 5,797,358.23
5. Step 5: Solve for x
   x = 5,797,358.23/2,648.60
6. Step 6: Final answer
   x = 2,188.84