Finding the Fourth Proportional to 5,709.46, 7,881.69 and 3,616.42

Step by Step Solution

1. Step 1: Write the proportion equation
   5,709.46 : 7,881.69 = 3,616.42 : x
2. Step 2: Convert to fraction form
   5,709.46/7,881.69 = 3,616.42/x
3. Step 3: Cross multiply
   5,709.46x = 7,881.69 × 3,616.42
4. Step 4: Simplify right side
   5,709.46x = 28,503,501.35
5. Step 5: Solve for x
   x = 28,503,501.35/5,709.46
6. Step 6: Final answer
   x = 4,992.33