Finding the Fourth Proportional to 1,420.48, 1,959.94 and 830.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,420.48 : 1,959.94 = 830.74 : x
2. Step 2: Convert to fraction form
   1,420.48/1,959.94 = 830.74/x
3. Step 3: Cross multiply
   1,420.48x = 1,959.94 × 830.74
4. Step 4: Simplify right side
   1,420.48x = 1,628,200.56
5. Step 5: Solve for x
   x = 1,628,200.56/1,420.48
6. Step 6: Final answer
   x = 1,146.23