Finding the Fourth Proportional to 2,648.61, 3,654.72 and 1,586.07

Step by Step Solution

1. Step 1: Write the proportion equation
   2,648.61 : 3,654.72 = 1,586.07 : x
2. Step 2: Convert to fraction form
   2,648.61/3,654.72 = 1,586.07/x
3. Step 3: Cross multiply
   2,648.61x = 3,654.72 × 1,586.07
4. Step 4: Simplify right side
   2,648.61x = 5,796,641.75
5. Step 5: Solve for x
   x = 5,796,641.75/2,648.61
6. Step 6: Final answer
   x = 2,188.56