Finding the Fourth Proportional to 1,429.14, 1,972.55 and 1,192.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.14 : 1,972.55 = 1,192.83 : x
2. Step 2: Convert to fraction form
   1,429.14/1,972.55 = 1,192.83/x
3. Step 3: Cross multiply
   1,429.14x = 1,972.55 × 1,192.83
4. Step 4: Simplify right side
   1,429.14x = 2,352,912.40
5. Step 5: Solve for x
   x = 2,352,912.40/1,429.14
6. Step 6: Final answer
   x = 1,646.38