Finding the Fourth Proportional to 3,904.80, 5,829.38 and 3,768.12

Step by Step Solution

1. Step 1: Write the proportion equation
   3,904.80 : 5,829.38 = 3,768.12 : x
2. Step 2: Convert to fraction form
   3,904.80/5,829.38 = 3,768.12/x
3. Step 3: Cross multiply
   3,904.80x = 5,829.38 × 3,768.12
4. Step 4: Simplify right side
   3,904.80x = 21,965,784.53
5. Step 5: Solve for x
   x = 21,965,784.53/3,904.80
6. Step 6: Final answer
   x = 5,625.33