Finding the Fourth Proportional to 2,468.14, 3,406.72 and 1,420.54

Step by Step Solution

1. Step 1: Write the proportion equation
   2,468.14 : 3,406.72 = 1,420.54 : x
2. Step 2: Convert to fraction form
   2,468.14/3,406.72 = 1,420.54/x
3. Step 3: Cross multiply
   2,468.14x = 3,406.72 × 1,420.54
4. Step 4: Simplify right side
   2,468.14x = 4,839,382.03
5. Step 5: Solve for x
   x = 4,839,382.03/2,468.14
6. Step 6: Final answer
   x = 1,960.74