Finding the Fourth Proportional to 6,870.64, 9,480.88 and 3,886.08

Step by Step Solution

1. Step 1: Write the proportion equation
   6,870.64 : 9,480.88 = 3,886.08 : x
2. Step 2: Convert to fraction form
   6,870.64/9,480.88 = 3,886.08/x
3. Step 3: Cross multiply
   6,870.64x = 9,480.88 × 3,886.08
4. Step 4: Simplify right side
   6,870.64x = 36,843,458.15
5. Step 5: Solve for x
   x = 36,843,458.15/6,870.64
6. Step 6: Final answer
   x = 5,362.45