Finding the Fourth Proportional to 1,429.57, 1,972.78 and 832.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.57 : 1,972.78 = 832.06 : x
2. Step 2: Convert to fraction form
   1,429.57/1,972.78 = 832.06/x
3. Step 3: Cross multiply
   1,429.57x = 1,972.78 × 832.06
4. Step 4: Simplify right side
   1,429.57x = 1,641,471.33
5. Step 5: Solve for x
   x = 1,641,471.33/1,429.57
6. Step 6: Final answer
   x = 1,148.23