Finding the Fourth Proportional to 5,703.61, 7,870.89 and 3,185.76

Step by Step Solution

1. Step 1: Write the proportion equation
   5,703.61 : 7,870.89 = 3,185.76 : x
2. Step 2: Convert to fraction form
   5,703.61/7,870.89 = 3,185.76/x
3. Step 3: Cross multiply
   5,703.61x = 7,870.89 × 3,185.76
4. Step 4: Simplify right side
   5,703.61x = 25,074,766.53
5. Step 5: Solve for x
   x = 25,074,766.53/5,703.61
6. Step 6: Final answer
   x = 4,396.30