Finding the Fourth Proportional to 2,648.16, 3,654.45 and 1,586.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,648.16 : 3,654.45 = 1,586.12 : x
2. Step 2: Convert to fraction form
   2,648.16/3,654.45 = 1,586.12/x
3. Step 3: Cross multiply
   2,648.16x = 3,654.45 × 1,586.12
4. Step 4: Simplify right side
   2,648.16x = 5,796,377.96
5. Step 5: Solve for x
   x = 5,796,377.96/2,648.16
6. Step 6: Final answer
   x = 2,188.83