Finding the Fourth Proportional to 2,648.46, 3,653.16 and 1,585.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,648.46 : 3,653.16 = 1,585.46 : x
2. Step 2: Convert to fraction form
   2,648.46/3,653.16 = 1,585.46/x
3. Step 3: Cross multiply
   2,648.46x = 3,653.16 × 1,585.46
4. Step 4: Simplify right side
   2,648.46x = 5,791,939.05
5. Step 5: Solve for x
   x = 5,791,939.05/2,648.46
6. Step 6: Final answer
   x = 2,186.91