Finding the Fourth Proportional to 2,598.14, 3,585.47 and 1,419.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,598.14 : 3,585.47 = 1,419.23 : x
2. Step 2: Convert to fraction form
   2,598.14/3,585.47 = 1,419.23/x
3. Step 3: Cross multiply
   2,598.14x = 3,585.47 × 1,419.23
4. Step 4: Simplify right side
   2,598.14x = 5,088,581.56
5. Step 5: Solve for x
   x = 5,088,581.56/2,598.14
6. Step 6: Final answer
   x = 1,958.55