Finding the Fourth Proportional to 5,105.76, 7,643.77 and 3,795.33

Step by Step Solution

1. Step 1: Write the proportion equation
   5,105.76 : 7,643.77 = 3,795.33 : x
2. Step 2: Convert to fraction form
   5,105.76/7,643.77 = 3,795.33/x
3. Step 3: Cross multiply
   5,105.76x = 7,643.77 × 3,795.33
4. Step 4: Simplify right side
   5,105.76x = 29,010,629.59
5. Step 5: Solve for x
   x = 29,010,629.59/5,105.76
6. Step 6: Final answer
   x = 5,681.94