Finding the Fourth Proportional to 6,388.52, 8,815.14 and 3,870.20

Step by Step Solution

1. Step 1: Write the proportion equation
   6,388.52 : 8,815.14 = 3,870.20 : x
2. Step 2: Convert to fraction form
   6,388.52/8,815.14 = 3,870.20/x
3. Step 3: Cross multiply
   6,388.52x = 8,815.14 × 3,870.20
4. Step 4: Simplify right side
   6,388.52x = 34,116,354.83
5. Step 5: Solve for x
   x = 34,116,354.83/6,388.52
6. Step 6: Final answer
   x = 5,340.26