Finding the Fourth Proportional to 2,648.61, 3,654 and 1,586.70

Step by Step Solution

1. Step 1: Write the proportion equation
   2,648.61 : 3,654 = 1,586.70 : x
2. Step 2: Convert to fraction form
   2,648.61/3,654 = 1,586.70/x
3. Step 3: Cross multiply
   2,648.61x = 3,654 × 1,586.70
4. Step 4: Simplify right side
   2,648.61x = 5,797,801.80
5. Step 5: Solve for x
   x = 5,797,801.80/2,648.61
6. Step 6: Final answer
   x = 2,189.00