Finding the Fourth Proportional to 5,256.77, 7,868.75 and 3,871.67

Step by Step Solution

1. Step 1: Write the proportion equation
   5,256.77 : 7,868.75 = 3,871.67 : x
2. Step 2: Convert to fraction form
   5,256.77/7,868.75 = 3,871.67/x
3. Step 3: Cross multiply
   5,256.77x = 7,868.75 × 3,871.67
4. Step 4: Simplify right side
   5,256.77x = 30,465,144.61
5. Step 5: Solve for x
   x = 30,465,144.61/5,256.77
6. Step 6: Final answer
   x = 5,795.42