Finding the Fourth Proportional to 2,523.20, 3,482.00 and 1,419.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,523.20 : 3,482.00 = 1,419.20 : x
2. Step 2: Convert to fraction form
   2,523.20/3,482.00 = 1,419.20/x
3. Step 3: Cross multiply
   2,523.20x = 3,482.00 × 1,419.20
4. Step 4: Simplify right side
   2,523.20x = 4,941,629.89
5. Step 5: Solve for x
   x = 4,941,629.89/2,523.20
6. Step 6: Final answer
   x = 1,958.48