Finding the Fourth Proportional to 1,665.38, 2,298.42 and 1,142.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.38 : 2,298.42 = 1,142.52 : x
2. Step 2: Convert to fraction form
   1,665.38/2,298.42 = 1,142.52/x
3. Step 3: Cross multiply
   1,665.38x = 2,298.42 × 1,142.52
4. Step 4: Simplify right side
   1,665.38x = 2,625,990.82
5. Step 5: Solve for x
   x = 2,625,990.82/1,665.38
6. Step 6: Final answer
   x = 1,576.82