Finding the Fourth Proportional to 1,429.83, 2,144.61 and 456.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.83 : 2,144.61 = 456.57 : x
2. Step 2: Convert to fraction form
   1,429.83/2,144.61 = 456.57/x
3. Step 3: Cross multiply
   1,429.83x = 2,144.61 × 456.57
4. Step 4: Simplify right side
   1,429.83x = 979,164.59
5. Step 5: Solve for x
   x = 979,164.59/1,429.83
6. Step 6: Final answer
   x = 684.81