Finding the Fourth Proportional to 1,429.43, 1,972.96 and 832.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.43 : 1,972.96 = 832.41 : x
2. Step 2: Convert to fraction form
   1,429.43/1,972.96 = 832.41/x
3. Step 3: Cross multiply
   1,429.43x = 1,972.96 × 832.41
4. Step 4: Simplify right side
   1,429.43x = 1,642,309.55
5. Step 5: Solve for x
   x = 1,642,309.55/1,429.43
6. Step 6: Final answer
   x = 1,148.93