Finding the Fourth Proportional to 1,419.93, 1,959.48 and 830.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.93 : 1,959.48 = 830.55 : x
2. Step 2: Convert to fraction form
   1,419.93/1,959.48 = 830.55/x
3. Step 3: Cross multiply
   1,419.93x = 1,959.48 × 830.55
4. Step 4: Simplify right side
   1,419.93x = 1,627,446.11
5. Step 5: Solve for x
   x = 1,627,446.11/1,419.93
6. Step 6: Final answer
   x = 1,146.15