Finding the Fourth Proportional to 3,829.96, 5,712.05 and 3,764.35

Step by Step Solution

1. Step 1: Write the proportion equation
   3,829.96 : 5,712.05 = 3,764.35 : x
2. Step 2: Convert to fraction form
   3,829.96/5,712.05 = 3,764.35/x
3. Step 3: Cross multiply
   3,829.96x = 5,712.05 × 3,764.35
4. Step 4: Simplify right side
   3,829.96x = 21,502,155.42
5. Step 5: Solve for x
   x = 21,502,155.42/3,829.96
6. Step 6: Final answer
   x = 5,614.20