Finding the Fourth Proportional to 1,421.96, 1,962.83 and 832.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,421.96 : 1,962.83 = 832.68 : x
2. Step 2: Convert to fraction form
   1,421.96/1,962.83 = 832.68/x
3. Step 3: Cross multiply
   1,421.96x = 1,962.83 × 832.68
4. Step 4: Simplify right side
   1,421.96x = 1,634,411.37
5. Step 5: Solve for x
   x = 1,634,411.37/1,421.96
6. Step 6: Final answer
   x = 1,149.41