Finding the Fourth Proportional to 3,829.29, 5,705.42 and 3,577.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,829.29 : 5,705.42 = 3,577.78 : x
2. Step 2: Convert to fraction form
   3,829.29/5,705.42 = 3,577.78/x
3. Step 3: Cross multiply
   3,829.29x = 5,705.42 × 3,577.78
4. Step 4: Simplify right side
   3,829.29x = 20,412,726.81
5. Step 5: Solve for x
   x = 20,412,726.81/3,829.29
6. Step 6: Final answer
   x = 5,330.69