Finding the Fourth Proportional to 1,419.42, 1,958.55 and 830.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.42 : 1,958.55 = 830.04 : x
2. Step 2: Convert to fraction form
   1,419.42/1,958.55 = 830.04/x
3. Step 3: Cross multiply
   1,419.42x = 1,958.55 × 830.04
4. Step 4: Simplify right side
   1,419.42x = 1,625,674.84
5. Step 5: Solve for x
   x = 1,625,674.84/1,419.42
6. Step 6: Final answer
   x = 1,145.31