Finding the Fourth Proportional to 3,830.86, 5,740.89 and 1,745.74

Step by Step Solution

1. Step 1: Write the proportion equation
   3,830.86 : 5,740.89 = 1,745.74 : x
2. Step 2: Convert to fraction form
   3,830.86/5,740.89 = 1,745.74/x
3. Step 3: Cross multiply
   3,830.86x = 5,740.89 × 1,745.74
4. Step 4: Simplify right side
   3,830.86x = 10,022,101.31
5. Step 5: Solve for x
   x = 10,022,101.31/3,830.86
6. Step 6: Final answer
   x = 2,616.15