Finding the Fourth Proportional to 5,756.70, 7,946.55 and 3,663.42

Step by Step Solution

1. Step 1: Write the proportion equation
   5,756.70 : 7,946.55 = 3,663.42 : x
2. Step 2: Convert to fraction form
   5,756.70/7,946.55 = 3,663.42/x
3. Step 3: Cross multiply
   5,756.70x = 7,946.55 × 3,663.42
4. Step 4: Simplify right side
   5,756.70x = 29,111,550.20
5. Step 5: Solve for x
   x = 29,111,550.20/5,756.70
6. Step 6: Final answer
   x = 5,056.99