Finding the Fourth Proportional to 5,715.57, 7,883.04 and 3,826.55

Step by Step Solution

1. Step 1: Write the proportion equation
   5,715.57 : 7,883.04 = 3,826.55 : x
2. Step 2: Convert to fraction form
   5,715.57/7,883.04 = 3,826.55/x
3. Step 3: Cross multiply
   5,715.57x = 7,883.04 × 3,826.55
4. Step 4: Simplify right side
   5,715.57x = 30,164,866.42
5. Step 5: Solve for x
   x = 30,164,866.42/5,715.57
6. Step 6: Final answer
   x = 5,277.67