Finding the Fourth Proportional to 5,766.21, 7,954.61 and 3,775.89

Step by Step Solution

1. Step 1: Write the proportion equation
   5,766.21 : 7,954.61 = 3,775.89 : x
2. Step 2: Convert to fraction form
   5,766.21/7,954.61 = 3,775.89/x
3. Step 3: Cross multiply
   5,766.21x = 7,954.61 × 3,775.89
4. Step 4: Simplify right side
   5,766.21x = 30,035,713.47
5. Step 5: Solve for x
   x = 30,035,713.47/5,766.21
6. Step 6: Final answer
   x = 5,208.92