Finding the Fourth Proportional to 3,829.96, 5,741.86 and 3,522.42

Step by Step Solution

1. Step 1: Write the proportion equation
   3,829.96 : 5,741.86 = 3,522.42 : x
2. Step 2: Convert to fraction form
   3,829.96/5,741.86 = 3,522.42/x
3. Step 3: Cross multiply
   3,829.96x = 5,741.86 × 3,522.42
4. Step 4: Simplify right side
   3,829.96x = 20,225,242.50
5. Step 5: Solve for x
   x = 20,225,242.50/3,829.96
6. Step 6: Final answer
   x = 5,280.80