Finding the Fourth Proportional to 1,516.10, 2,092.32 and 1,142.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,516.10 : 2,092.32 = 1,142.42 : x
2. Step 2: Convert to fraction form
   1,516.10/2,092.32 = 1,142.42/x
3. Step 3: Cross multiply
   1,516.10x = 2,092.32 × 1,142.42
4. Step 4: Simplify right side
   1,516.10x = 2,390,308.21
5. Step 5: Solve for x
   x = 2,390,308.21/1,516.10
6. Step 6: Final answer
   x = 1,576.62