Finding the Fourth Proportional to 2,537.86, 3,502.34 and 1,419

Step by Step Solution

1. Step 1: Write the proportion equation
   2,537.86 : 3,502.34 = 1,419 : x
2. Step 2: Convert to fraction form
   2,537.86/3,502.34 = 1,419/x
3. Step 3: Cross multiply
   2,537.86x = 3,502.34 × 1,419
4. Step 4: Simplify right side
   2,537.86x = 4,969,820.46
5. Step 5: Solve for x
   x = 4,969,820.46/2,537.86
6. Step 6: Final answer
   x = 1,958.27