Finding the Fourth Proportional to 1,429.95, 2,144.79 and 456.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.95 : 2,144.79 = 456.06 : x
2. Step 2: Convert to fraction form
   1,429.95/2,144.79 = 456.06/x
3. Step 3: Cross multiply
   1,429.95x = 2,144.79 × 456.06
4. Step 4: Simplify right side
   1,429.95x = 978,152.93
5. Step 5: Solve for x
   x = 978,152.93/1,429.95
6. Step 6: Final answer
   x = 684.05