Finding the Fourth Proportional to 1,429.23, 1,972.31 and 839.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.23 : 1,972.31 = 839.82 : x
2. Step 2: Convert to fraction form
   1,429.23/1,972.31 = 839.82/x
3. Step 3: Cross multiply
   1,429.23x = 1,972.31 × 839.82
4. Step 4: Simplify right side
   1,429.23x = 1,656,381.19
5. Step 5: Solve for x
   x = 1,656,381.19/1,429.23
6. Step 6: Final answer
   x = 1,158.93