Finding the Fourth Proportional to 5,257.58, 7,869.20 and 3,870.35

Step by Step Solution

1. Step 1: Write the proportion equation
   5,257.58 : 7,869.20 = 3,870.35 : x
2. Step 2: Convert to fraction form
   5,257.58/7,869.20 = 3,870.35/x
3. Step 3: Cross multiply
   5,257.58x = 7,869.20 × 3,870.35
4. Step 4: Simplify right side
   5,257.58x = 30,456,499.52
5. Step 5: Solve for x
   x = 30,456,499.52/5,257.58
6. Step 6: Final answer
   x = 5,792.88