Finding the Fourth Proportional to 5,278.58, 7,920.60 and 3,829.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,278.58 : 7,920.60 = 3,829.69 : x
2. Step 2: Convert to fraction form
   5,278.58/7,920.60 = 3,829.69/x
3. Step 3: Cross multiply
   5,278.58x = 7,920.60 × 3,829.69
4. Step 4: Simplify right side
   5,278.58x = 30,333,383.86
5. Step 5: Solve for x
   x = 30,333,383.86/5,278.58
6. Step 6: Final answer
   x = 5,746.51