Finding the Fourth Proportional to 1,142.15, 1,576.53 and 1,029.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.15 : 1,576.53 = 1,029.42 : x
2. Step 2: Convert to fraction form
   1,142.15/1,576.53 = 1,029.42/x
3. Step 3: Cross multiply
   1,142.15x = 1,576.53 × 1,029.42
4. Step 4: Simplify right side
   1,142.15x = 1,622,911.51
5. Step 5: Solve for x
   x = 1,622,911.51/1,142.15
6. Step 6: Final answer
   x = 1,420.93