Finding the Fourth Proportional to 1,429.60, 2,142.24 and 942.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.60 : 2,142.24 = 942.24 : x
2. Step 2: Convert to fraction form
   1,429.60/2,142.24 = 942.24/x
3. Step 3: Cross multiply
   1,429.60x = 2,142.24 × 942.24
4. Step 4: Simplify right side
   1,429.60x = 2,018,504.22
5. Step 5: Solve for x
   x = 2,018,504.22/1,429.60
6. Step 6: Final answer
   x = 1,411.94