Finding the Fourth Proportional to 5,705.60, 7,870.92 and 3,817.61

Step by Step Solution

1. Step 1: Write the proportion equation
   5,705.60 : 7,870.92 = 3,817.61 : x
2. Step 2: Convert to fraction form
   5,705.60/7,870.92 = 3,817.61/x
3. Step 3: Cross multiply
   5,705.60x = 7,870.92 × 3,817.61
4. Step 4: Simplify right side
   5,705.60x = 30,048,078.08
5. Step 5: Solve for x
   x = 30,048,078.08/5,705.60
6. Step 6: Final answer
   x = 5,266.42