Finding the Fourth Proportional to 1,421.32, 1,960.81 and 830.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,421.32 : 1,960.81 = 830.83 : x
2. Step 2: Convert to fraction form
   1,421.32/1,960.81 = 830.83/x
3. Step 3: Cross multiply
   1,421.32x = 1,960.81 × 830.83
4. Step 4: Simplify right side
   1,421.32x = 1,629,099.77
5. Step 5: Solve for x
   x = 1,629,099.77/1,421.32
6. Step 6: Final answer
   x = 1,146.19