Finding the Fourth Proportional to 5,662.26, 7,807.68 and 3,870

Step by Step Solution

1. Step 1: Write the proportion equation
   5,662.26 : 7,807.68 = 3,870 : x
2. Step 2: Convert to fraction form
   5,662.26/7,807.68 = 3,870/x
3. Step 3: Cross multiply
   5,662.26x = 7,807.68 × 3,870
4. Step 4: Simplify right side
   5,662.26x = 30,215,721.60
5. Step 5: Solve for x
   x = 30,215,721.60/5,662.26
6. Step 6: Final answer
   x = 5,336.34