Finding the Fourth Proportional to 2,598.35, 3,585.62 and 1,419.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,598.35 : 3,585.62 = 1,419.47 : x
2. Step 2: Convert to fraction form
   2,598.35/3,585.62 = 1,419.47/x
3. Step 3: Cross multiply
   2,598.35x = 3,585.62 × 1,419.47
4. Step 4: Simplify right side
   2,598.35x = 5,089,665.64
5. Step 5: Solve for x
   x = 5,089,665.64/2,598.35
6. Step 6: Final answer
   x = 1,958.80