Finding the Fourth Proportional to 3,826.72, 5,740.86 and 1,853.74

Step by Step Solution

1. Step 1: Write the proportion equation
   3,826.72 : 5,740.86 = 1,853.74 : x
2. Step 2: Convert to fraction form
   3,826.72/5,740.86 = 1,853.74/x
3. Step 3: Cross multiply
   3,826.72x = 5,740.86 × 1,853.74
4. Step 4: Simplify right side
   3,826.72x = 10,642,061.82
5. Step 5: Solve for x
   x = 10,642,061.82/3,826.72
6. Step 6: Final answer
   x = 2,780.99