Finding the Fourth Proportional to 2,539.50, 3,504.59 and 1,420.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,539.50 : 3,504.59 = 1,420.64 : x
2. Step 2: Convert to fraction form
   2,539.50/3,504.59 = 1,420.64/x
3. Step 3: Cross multiply
   2,539.50x = 3,504.59 × 1,420.64
4. Step 4: Simplify right side
   2,539.50x = 4,978,736.11
5. Step 5: Solve for x
   x = 4,978,736.11/2,539.50
6. Step 6: Final answer
   x = 1,960.52