Finding the Fourth Proportional to 2,042.34, 2,820.04 and 1,642.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,042.34 : 2,820.04 = 1,642.71 : x
2. Step 2: Convert to fraction form
   2,042.34/2,820.04 = 1,642.71/x
3. Step 3: Cross multiply
   2,042.34x = 2,820.04 × 1,642.71
4. Step 4: Simplify right side
   2,042.34x = 4,632,514.38
5. Step 5: Solve for x
   x = 4,632,514.38/2,042.34
6. Step 6: Final answer
   x = 2,268.24