Finding the Fourth Proportional to 5,705.72, 7,870.50 and 3,606.20

Step by Step Solution

1. Step 1: Write the proportion equation
   5,705.72 : 7,870.50 = 3,606.20 : x
2. Step 2: Convert to fraction form
   5,705.72/7,870.50 = 3,606.20/x
3. Step 3: Cross multiply
   5,705.72x = 7,870.50 × 3,606.20
4. Step 4: Simplify right side
   5,705.72x = 28,382,597.10
5. Step 5: Solve for x
   x = 28,382,597.10/5,705.72
6. Step 6: Final answer
   x = 4,974.41