Finding the Fourth Proportional to 3,726.23, 5,142.27 and 2,047.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,726.23 : 5,142.27 = 2,047.82 : x
2. Step 2: Convert to fraction form
   3,726.23/5,142.27 = 2,047.82/x
3. Step 3: Cross multiply
   3,726.23x = 5,142.27 × 2,047.82
4. Step 4: Simplify right side
   3,726.23x = 10,530,417.64
5. Step 5: Solve for x
   x = 10,530,417.64/3,726.23
6. Step 6: Final answer
   x = 2,826.03