Finding the Fourth Proportional to 1,429.40, 2,146.02 and 814.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.40 : 2,146.02 = 814.24 : x
2. Step 2: Convert to fraction form
   1,429.40/2,146.02 = 814.24/x
3. Step 3: Cross multiply
   1,429.40x = 2,146.02 × 814.24
4. Step 4: Simplify right side
   1,429.40x = 1,747,375.32
5. Step 5: Solve for x
   x = 1,747,375.32/1,429.40
6. Step 6: Final answer
   x = 1,222.45