Finding the Fourth Proportional to 1,419.69, 2,129.82 and 688.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.69 : 2,129.82 = 688.86 : x
2. Step 2: Convert to fraction form
   1,419.69/2,129.82 = 688.86/x
3. Step 3: Cross multiply
   1,419.69x = 2,129.82 × 688.86
4. Step 4: Simplify right side
   1,419.69x = 1,467,147.81
5. Step 5: Solve for x
   x = 1,467,147.81/1,419.69
6. Step 6: Final answer
   x = 1,033.43