Finding the Fourth Proportional to 3,959.78, 5,945.84 and 3,784.52

Step by Step Solution

1. Step 1: Write the proportion equation
   3,959.78 : 5,945.84 = 3,784.52 : x
2. Step 2: Convert to fraction form
   3,959.78/5,945.84 = 3,784.52/x
3. Step 3: Cross multiply
   3,959.78x = 5,945.84 × 3,784.52
4. Step 4: Simplify right side
   3,959.78x = 22,502,150.40
5. Step 5: Solve for x
   x = 22,502,150.40/3,959.78
6. Step 6: Final answer
   x = 5,682.68