Finding the Fourth Proportional to 1,420.14, 1,959.67 and 830.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,420.14 : 1,959.67 = 830.72 : x
2. Step 2: Convert to fraction form
   1,420.14/1,959.67 = 830.72/x
3. Step 3: Cross multiply
   1,420.14x = 1,959.67 × 830.72
4. Step 4: Simplify right side
   1,420.14x = 1,627,943.00
5. Step 5: Solve for x
   x = 1,627,943.00/1,420.14
6. Step 6: Final answer
   x = 1,146.32