Finding the Fourth Proportional to 2,538.24, 3,502.83 and 1,419.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.24 : 3,502.83 = 1,419.13 : x
2. Step 2: Convert to fraction form
   2,538.24/3,502.83 = 1,419.13/x
3. Step 3: Cross multiply
   2,538.24x = 3,502.83 × 1,419.13
4. Step 4: Simplify right side
   2,538.24x = 4,970,971.14
5. Step 5: Solve for x
   x = 4,970,971.14/2,538.24
6. Step 6: Final answer
   x = 1,958.43