Finding the Fourth Proportional to 1,419.52, 1,958.70 and 830.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.52 : 1,958.70 = 830.20 : x
2. Step 2: Convert to fraction form
   1,419.52/1,958.70 = 830.20/x
3. Step 3: Cross multiply
   1,419.52x = 1,958.70 × 830.20
4. Step 4: Simplify right side
   1,419.52x = 1,626,112.74
5. Step 5: Solve for x
   x = 1,626,112.74/1,419.52
6. Step 6: Final answer
   x = 1,145.54