Finding the Fourth Proportional to 2,042.61, 3,064.31 and 726.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,042.61 : 3,064.31 = 726.38 : x
2. Step 2: Convert to fraction form
   2,042.61/3,064.31 = 726.38/x
3. Step 3: Cross multiply
   2,042.61x = 3,064.31 × 726.38
4. Step 4: Simplify right side
   2,042.61x = 2,225,853.50
5. Step 5: Solve for x
   x = 2,225,853.50/2,042.61
6. Step 6: Final answer
   x = 1,089.71