Finding the Fourth Proportional to 2,468.16, 3,405.69 and 1,420.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,468.16 : 3,405.69 = 1,420.02 : x
2. Step 2: Convert to fraction form
   2,468.16/3,405.69 = 1,420.02/x
3. Step 3: Cross multiply
   2,468.16x = 3,405.69 × 1,420.02
4. Step 4: Simplify right side
   2,468.16x = 4,836,147.91
5. Step 5: Solve for x
   x = 4,836,147.91/2,468.16
6. Step 6: Final answer
   x = 1,959.41