Finding the Fourth Proportional to 2,598.18, 3,585.50 and 1,419.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,598.18 : 3,585.50 = 1,419.25 : x
2. Step 2: Convert to fraction form
   2,598.18/3,585.50 = 1,419.25/x
3. Step 3: Cross multiply
   2,598.18x = 3,585.50 × 1,419.25
4. Step 4: Simplify right side
   2,598.18x = 5,088,720.88
5. Step 5: Solve for x
   x = 5,088,720.88/2,598.18
6. Step 6: Final answer
   x = 1,958.57