Finding the Fourth Proportional to 1,420.38, 1,959.24 and 830.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,420.38 : 1,959.24 = 830.50 : x
2. Step 2: Convert to fraction form
   1,420.38/1,959.24 = 830.50/x
3. Step 3: Cross multiply
   1,420.38x = 1,959.24 × 830.50
4. Step 4: Simplify right side
   1,420.38x = 1,627,148.82
5. Step 5: Solve for x
   x = 1,627,148.82/1,420.38
6. Step 6: Final answer
   x = 1,145.57