Finding the Fourth Proportional to 2,538.27, 3,502.59 and 1,419.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.27 : 3,502.59 = 1,419.06 : x
2. Step 2: Convert to fraction form
   2,538.27/3,502.59 = 1,419.06/x
3. Step 3: Cross multiply
   2,538.27x = 3,502.59 × 1,419.06
4. Step 4: Simplify right side
   2,538.27x = 4,970,385.37
5. Step 5: Solve for x
   x = 4,970,385.37/2,538.27
6. Step 6: Final answer
   x = 1,958.18