Finding the Fourth Proportional to 2,598.42, 3,585.66 and 1,419.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,598.42 : 3,585.66 = 1,419.47 : x
2. Step 2: Convert to fraction form
   2,598.42/3,585.66 = 1,419.47/x
3. Step 3: Cross multiply
   2,598.42x = 3,585.66 × 1,419.47
4. Step 4: Simplify right side
   2,598.42x = 5,089,718.87
5. Step 5: Solve for x
   x = 5,089,718.87/2,598.42
6. Step 6: Final answer
   x = 1,958.77