Finding the Fourth Proportional to 9,836.25, 14,743.69 and 4,842.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,836.25 : 14,743.69 = 4,842.06 : x
2. Step 2: Convert to fraction form
   9,836.25/14,743.69 = 4,842.06/x
3. Step 3: Cross multiply
   9,836.25x = 14,743.69 × 4,842.06
4. Step 4: Simplify right side
   9,836.25x = 71,389,831.60
5. Step 5: Solve for x
   x = 71,389,831.60/9,836.25
6. Step 6: Final answer
   x = 7,257.83