Finding the Fourth Proportional to 5,320.80, 7,974.72 and 3,856.32

Step by Step Solution

1. Step 1: Write the proportion equation
   5,320.80 : 7,974.72 = 3,856.32 : x
2. Step 2: Convert to fraction form
   5,320.80/7,974.72 = 3,856.32/x
3. Step 3: Cross multiply
   5,320.80x = 7,974.72 × 3,856.32
4. Step 4: Simplify right side
   5,320.80x = 30,753,072.23
5. Step 5: Solve for x
   x = 30,753,072.23/5,320.80
6. Step 6: Final answer
   x = 5,779.78