Finding the Fourth Proportional to 2,598.68, 3,586.20 and 1,419.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,598.68 : 3,586.20 = 1,419.78 : x
2. Step 2: Convert to fraction form
   2,598.68/3,586.20 = 1,419.78/x
3. Step 3: Cross multiply
   2,598.68x = 3,586.20 × 1,419.78
4. Step 4: Simplify right side
   2,598.68x = 5,091,615.04
5. Step 5: Solve for x
   x = 5,091,615.04/2,598.68
6. Step 6: Final answer
   x = 1,959.31