Finding the Fourth Proportional to 5,506.55, 8,259.84 and 3,870.42

Step by Step Solution

1. Step 1: Write the proportion equation
   5,506.55 : 8,259.84 = 3,870.42 : x
2. Step 2: Convert to fraction form
   5,506.55/8,259.84 = 3,870.42/x
3. Step 3: Cross multiply
   5,506.55x = 8,259.84 × 3,870.42
4. Step 4: Simplify right side
   5,506.55x = 31,969,018.96
5. Step 5: Solve for x
   x = 31,969,018.96/5,506.55
6. Step 6: Final answer
   x = 5,805.64