Finding the Fourth Proportional to 1,429.10, 2,142.61 and 678.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.10 : 2,142.61 = 678.19 : x
2. Step 2: Convert to fraction form
   1,429.10/2,142.61 = 678.19/x
3. Step 3: Cross multiply
   1,429.10x = 2,142.61 × 678.19
4. Step 4: Simplify right side
   1,429.10x = 1,453,096.68
5. Step 5: Solve for x
   x = 1,453,096.68/1,429.10
6. Step 6: Final answer
   x = 1,016.79