Finding the Fourth Proportional to 3,727.50, 5,593.89 and 1,419

Step by Step Solution

1. Step 1: Write the proportion equation
   3,727.50 : 5,593.89 = 1,419 : x
2. Step 2: Convert to fraction form
   3,727.50/5,593.89 = 1,419/x
3. Step 3: Cross multiply
   3,727.50x = 5,593.89 × 1,419
4. Step 4: Simplify right side
   3,727.50x = 7,937,729.91
5. Step 5: Solve for x
   x = 7,937,729.91/3,727.50
6. Step 6: Final answer
   x = 2,129.51