Finding the Fourth Proportional to 1,420.39, 1,960.00 and 830.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,420.39 : 1,960.00 = 830.81 : x
2. Step 2: Convert to fraction form
   1,420.39/1,960.00 = 830.81/x
3. Step 3: Cross multiply
   1,420.39x = 1,960.00 × 830.81
4. Step 4: Simplify right side
   1,420.39x = 1,628,379.40
5. Step 5: Solve for x
   x = 1,628,379.40/1,420.39
6. Step 6: Final answer
   x = 1,146.43