Finding the Fourth Proportional to 2,538.30, 3,502.83 and 1,419.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.30 : 3,502.83 = 1,419.23 : x
2. Step 2: Convert to fraction form
   2,538.30/3,502.83 = 1,419.23/x
3. Step 3: Cross multiply
   2,538.30x = 3,502.83 × 1,419.23
4. Step 4: Simplify right side
   2,538.30x = 4,971,303.91
5. Step 5: Solve for x
   x = 4,971,303.91/2,538.30
6. Step 6: Final answer
   x = 1,958.52