Finding the Fourth Proportional to 1,419.60, 1,958.96 and 830.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.60 : 1,958.96 = 830.10 : x
2. Step 2: Convert to fraction form
   1,419.60/1,958.96 = 830.10/x
3. Step 3: Cross multiply
   1,419.60x = 1,958.96 × 830.10
4. Step 4: Simplify right side
   1,419.60x = 1,626,132.70
5. Step 5: Solve for x
   x = 1,626,132.70/1,419.60
6. Step 6: Final answer
   x = 1,145.49