Finding the Fourth Proportional to 1,421.58, 1,961.82 and 832.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,421.58 : 1,961.82 = 832.14 : x
2. Step 2: Convert to fraction form
   1,421.58/1,961.82 = 832.14/x
3. Step 3: Cross multiply
   1,421.58x = 1,961.82 × 832.14
4. Step 4: Simplify right side
   1,421.58x = 1,632,508.89
5. Step 5: Solve for x
   x = 1,632,508.89/1,421.58
6. Step 6: Final answer
   x = 1,148.38