Finding the Fourth Proportional to 6,564, 9,059.55 and 3,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,564 : 9,059.55 = 3,769.50 : x
2. Step 2: Convert to fraction form
   6,564/9,059.55 = 3,769.50/x
3. Step 3: Cross multiply
   6,564x = 9,059.55 × 3,769.50
4. Step 4: Simplify right side
   6,564x = 34,149,973.73
5. Step 5: Solve for x
   x = 34,149,973.73/6,564
6. Step 6: Final answer
   x = 5,202.62