Finding the Fourth Proportional to 2,538.63, 3,503.34 and 1,419.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.63 : 3,503.34 = 1,419.53 : x
2. Step 2: Convert to fraction form
   2,538.63/3,503.34 = 1,419.53/x
3. Step 3: Cross multiply
   2,538.63x = 3,503.34 × 1,419.53
4. Step 4: Simplify right side
   2,538.63x = 4,973,078.71
5. Step 5: Solve for x
   x = 4,973,078.71/2,538.63
6. Step 6: Final answer
   x = 1,958.96