Finding the Fourth Proportional to 5,385.62, 8,077.06 and 3,821.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,385.62 : 8,077.06 = 3,821.06 : x
2. Step 2: Convert to fraction form
   5,385.62/8,077.06 = 3,821.06/x
3. Step 3: Cross multiply
   5,385.62x = 8,077.06 × 3,821.06
4. Step 4: Simplify right side
   5,385.62x = 30,862,930.88
5. Step 5: Solve for x
   x = 30,862,930.88/5,385.62
6. Step 6: Final answer
   x = 5,730.62