Finding the Fourth Proportional to 1,648.41, 2,274.64 and 1,206.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.41 : 2,274.64 = 1,206.55 : x
2. Step 2: Convert to fraction form
   1,648.41/2,274.64 = 1,206.55/x
3. Step 3: Cross multiply
   1,648.41x = 2,274.64 × 1,206.55
4. Step 4: Simplify right side
   1,648.41x = 2,744,466.89
5. Step 5: Solve for x
   x = 2,744,466.89/1,648.41
6. Step 6: Final answer
   x = 1,664.92