Finding the Fourth Proportional to 1,647.40, 2,466.06 and 1,540.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,647.40 : 2,466.06 = 1,540.84 : x
2. Step 2: Convert to fraction form
   1,647.40/2,466.06 = 1,540.84/x
3. Step 3: Cross multiply
   1,647.40x = 2,466.06 × 1,540.84
4. Step 4: Simplify right side
   1,647.40x = 3,799,803.89
5. Step 5: Solve for x
   x = 3,799,803.89/1,647.40
6. Step 6: Final answer
   x = 2,306.55