Finding the Fourth Proportional to 6,102.56, 8,420.10 and 3,584.52

Step by Step Solution

1. Step 1: Write the proportion equation
   6,102.56 : 8,420.10 = 3,584.52 : x
2. Step 2: Convert to fraction form
   6,102.56/8,420.10 = 3,584.52/x
3. Step 3: Cross multiply
   6,102.56x = 8,420.10 × 3,584.52
4. Step 4: Simplify right side
   6,102.56x = 30,182,016.85
5. Step 5: Solve for x
   x = 30,182,016.85/6,102.56
6. Step 6: Final answer
   x = 4,945.80