Finding the Fourth Proportional to 2,648.63, 3,652.56 and 1,586.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,648.63 : 3,652.56 = 1,586.22 : x
2. Step 2: Convert to fraction form
   2,648.63/3,652.56 = 1,586.22/x
3. Step 3: Cross multiply
   2,648.63x = 3,652.56 × 1,586.22
4. Step 4: Simplify right side
   2,648.63x = 5,793,763.72
5. Step 5: Solve for x
   x = 5,793,763.72/2,648.63
6. Step 6: Final answer
   x = 2,187.46