Finding the Fourth Proportional to 2,648.81, 3,654.95 and 1,586.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,648.81 : 3,654.95 = 1,586.31 : x
2. Step 2: Convert to fraction form
   2,648.81/3,654.95 = 1,586.31/x
3. Step 3: Cross multiply
   2,648.81x = 3,654.95 × 1,586.31
4. Step 4: Simplify right side
   2,648.81x = 5,797,875.80
5. Step 5: Solve for x
   x = 5,797,875.80/2,648.81
6. Step 6: Final answer
   x = 2,188.86