Finding the Fourth Proportional to 1,429.92, 1,972.86 and 832.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.92 : 1,972.86 = 832.30 : x
2. Step 2: Convert to fraction form
   1,429.92/1,972.86 = 832.30/x
3. Step 3: Cross multiply
   1,429.92x = 1,972.86 × 832.30
4. Step 4: Simplify right side
   1,429.92x = 1,642,011.38
5. Step 5: Solve for x
   x = 1,642,011.38/1,429.92
6. Step 6: Final answer
   x = 1,148.32