Finding the Fourth Proportional to 1,189.23, 1,640.79 and 1,142.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.23 : 1,640.79 = 1,142.52 : x
2. Step 2: Convert to fraction form
   1,189.23/1,640.79 = 1,142.52/x
3. Step 3: Cross multiply
   1,189.23x = 1,640.79 × 1,142.52
4. Step 4: Simplify right side
   1,189.23x = 1,874,635.39
5. Step 5: Solve for x
   x = 1,874,635.39/1,189.23
6. Step 6: Final answer
   x = 1,576.34