Finding the Fourth Proportional to 1,412.38, 1,949.00 and 829.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.38 : 1,949.00 = 829.81 : x
2. Step 2: Convert to fraction form
   1,412.38/1,949.00 = 829.81/x
3. Step 3: Cross multiply
   1,412.38x = 1,949.00 × 829.81
4. Step 4: Simplify right side
   1,412.38x = 1,617,290.67
5. Step 5: Solve for x
   x = 1,617,290.67/1,412.38
6. Step 6: Final answer
   x = 1,145.08