Finding the Fourth Proportional to 3,828.96, 5,710.56 and 3,763.35

Step by Step Solution

1. Step 1: Write the proportion equation
   3,828.96 : 5,710.56 = 3,763.35 : x
2. Step 2: Convert to fraction form
   3,828.96/5,710.56 = 3,763.35/x
3. Step 3: Cross multiply
   3,828.96x = 5,710.56 × 3,763.35
4. Step 4: Simplify right side
   3,828.96x = 21,490,835.98
5. Step 5: Solve for x
   x = 21,490,835.98/3,828.96
6. Step 6: Final answer
   x = 5,612.71