Finding the Fourth Proportional to 1,419.48, 1,958.78 and 830.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.48 : 1,958.78 = 830.12 : x
2. Step 2: Convert to fraction form
   1,419.48/1,958.78 = 830.12/x
3. Step 3: Cross multiply
   1,419.48x = 1,958.78 × 830.12
4. Step 4: Simplify right side
   1,419.48x = 1,626,022.45
5. Step 5: Solve for x
   x = 1,626,022.45/1,419.48
6. Step 6: Final answer
   x = 1,145.51