Finding the Fourth Proportional to 1,419.30, 2,127.42 and 687.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.30 : 2,127.42 = 687.86 : x
2. Step 2: Convert to fraction form
   1,419.30/2,127.42 = 687.86/x
3. Step 3: Cross multiply
   1,419.30x = 2,127.42 × 687.86
4. Step 4: Simplify right side
   1,419.30x = 1,463,367.12
5. Step 5: Solve for x
   x = 1,463,367.12/1,419.30
6. Step 6: Final answer
   x = 1,031.05