Finding the Fourth Proportional to 2,598.78, 3,586.38 and 1,419.90

Step by Step Solution

1. Step 1: Write the proportion equation
   2,598.78 : 3,586.38 = 1,419.90 : x
2. Step 2: Convert to fraction form
   2,598.78/3,586.38 = 1,419.90/x
3. Step 3: Cross multiply
   2,598.78x = 3,586.38 × 1,419.90
4. Step 4: Simplify right side
   2,598.78x = 5,092,300.96
5. Step 5: Solve for x
   x = 5,092,300.96/2,598.78
6. Step 6: Final answer
   x = 1,959.50