Finding the Fourth Proportional to 5,385.36, 8,076.69 and 3,820.80

Step by Step Solution

1. Step 1: Write the proportion equation
   5,385.36 : 8,076.69 = 3,820.80 : x
2. Step 2: Convert to fraction form
   5,385.36/8,076.69 = 3,820.80/x
3. Step 3: Cross multiply
   5,385.36x = 8,076.69 × 3,820.80
4. Step 4: Simplify right side
   5,385.36x = 30,859,417.15
5. Step 5: Solve for x
   x = 30,859,417.15/5,385.36
6. Step 6: Final answer
   x = 5,730.24