Finding the Fourth Proportional to 6,564.23, 9,842.00 and 3,440.47

Step by Step Solution

1. Step 1: Write the proportion equation
   6,564.23 : 9,842.00 = 3,440.47 : x
2. Step 2: Convert to fraction form
   6,564.23/9,842.00 = 3,440.47/x
3. Step 3: Cross multiply
   6,564.23x = 9,842.00 × 3,440.47
4. Step 4: Simplify right side
   6,564.23x = 33,861,063.93
5. Step 5: Solve for x
   x = 33,861,063.93/6,564.23
6. Step 6: Final answer
   x = 5,158.42