Finding the Fourth Proportional to 1,429.44, 1,972.62 and 831.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.44 : 1,972.62 = 831.72 : x
2. Step 2: Convert to fraction form
   1,429.44/1,972.62 = 831.72/x
3. Step 3: Cross multiply
   1,429.44x = 1,972.62 × 831.72
4. Step 4: Simplify right side
   1,429.44x = 1,640,667.51
5. Step 5: Solve for x
   x = 1,640,667.51/1,429.44
6. Step 6: Final answer
   x = 1,147.77