Finding the Fourth Proportional to 2,598.62, 3,586.20 and 1,419.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,598.62 : 3,586.20 = 1,419.74 : x
2. Step 2: Convert to fraction form
   2,598.62/3,586.20 = 1,419.74/x
3. Step 3: Cross multiply
   2,598.62x = 3,586.20 × 1,419.74
4. Step 4: Simplify right side
   2,598.62x = 5,091,471.59
5. Step 5: Solve for x
   x = 5,091,471.59/2,598.62
6. Step 6: Final answer
   x = 1,959.30