Finding the Fourth Proportional to 2,538.42, 3,502.98 and 1,419.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.42 : 3,502.98 = 1,419.38 : x
2. Step 2: Convert to fraction form
   2,538.42/3,502.98 = 1,419.38/x
3. Step 3: Cross multiply
   2,538.42x = 3,502.98 × 1,419.38
4. Step 4: Simplify right side
   2,538.42x = 4,972,059.75
5. Step 5: Solve for x
   x = 4,972,059.75/2,538.42
6. Step 6: Final answer
   x = 1,958.72