Finding the Fourth Proportional to 5,506.27, 8,259.31 and 3,816.10

Step by Step Solution

1. Step 1: Write the proportion equation
   5,506.27 : 8,259.31 = 3,816.10 : x
2. Step 2: Convert to fraction form
   5,506.27/8,259.31 = 3,816.10/x
3. Step 3: Cross multiply
   5,506.27x = 8,259.31 × 3,816.10
4. Step 4: Simplify right side
   5,506.27x = 31,518,352.89
5. Step 5: Solve for x
   x = 31,518,352.89/5,506.27
6. Step 6: Final answer
   x = 5,724.08