Finding the Fourth Proportional to 7,771.34, 11,645.67 and 3,870.38

Step by Step Solution

1. Step 1: Write the proportion equation
   7,771.34 : 11,645.67 = 3,870.38 : x
2. Step 2: Convert to fraction form
   7,771.34/11,645.67 = 3,870.38/x
3. Step 3: Cross multiply
   7,771.34x = 11,645.67 × 3,870.38
4. Step 4: Simplify right side
   7,771.34x = 45,073,168.25
5. Step 5: Solve for x
   x = 45,073,168.25/7,771.34
6. Step 6: Final answer
   x = 5,799.92