Finding the Fourth Proportional to 1,419.63, 1,959.05 and 830.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.63 : 1,959.05 = 830.25 : x
2. Step 2: Convert to fraction form
   1,419.63/1,959.05 = 830.25/x
3. Step 3: Cross multiply
   1,419.63x = 1,959.05 × 830.25
4. Step 4: Simplify right side
   1,419.63x = 1,626,503.34
5. Step 5: Solve for x
   x = 1,626,503.34/1,419.63
6. Step 6: Final answer
   x = 1,145.73