Finding the Fourth Proportional to 5,178.56, 7,771.60 and 3,883.52

Step by Step Solution

1. Step 1: Write the proportion equation
   5,178.56 : 7,771.60 = 3,883.52 : x
2. Step 2: Convert to fraction form
   5,178.56/7,771.60 = 3,883.52/x
3. Step 3: Cross multiply
   5,178.56x = 7,771.60 × 3,883.52
4. Step 4: Simplify right side
   5,178.56x = 30,181,164.03
5. Step 5: Solve for x
   x = 30,181,164.03/5,178.56
6. Step 6: Final answer
   x = 5,828.10