Finding the Fourth Proportional to 5,762.57, 7,949.15 and 3,776.33

Step by Step Solution

1. Step 1: Write the proportion equation
   5,762.57 : 7,949.15 = 3,776.33 : x
2. Step 2: Convert to fraction form
   5,762.57/7,949.15 = 3,776.33/x
3. Step 3: Cross multiply
   5,762.57x = 7,949.15 × 3,776.33
4. Step 4: Simplify right side
   5,762.57x = 30,018,594.74
5. Step 5: Solve for x
   x = 30,018,594.74/5,762.57
6. Step 6: Final answer
   x = 5,209.24