Finding the Fourth Proportional to 5,760.42, 7,949.34 and 3,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,760.42 : 7,949.34 = 3,664.50 : x
2. Step 2: Convert to fraction form
   5,760.42/7,949.34 = 3,664.50/x
3. Step 3: Cross multiply
   5,760.42x = 7,949.34 × 3,664.50
4. Step 4: Simplify right side
   5,760.42x = 29,130,356.43
5. Step 5: Solve for x
   x = 29,130,356.43/5,760.42
6. Step 6: Final answer
   x = 5,056.98