Finding the Fourth Proportional to 9,738.06, 14,597.36 and 3,806.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,738.06 : 14,597.36 = 3,806.81 : x
2. Step 2: Convert to fraction form
   9,738.06/14,597.36 = 3,806.81/x
3. Step 3: Cross multiply
   9,738.06x = 14,597.36 × 3,806.81
4. Step 4: Simplify right side
   9,738.06x = 55,569,376.02
5. Step 5: Solve for x
   x = 55,569,376.02/9,738.06
6. Step 6: Final answer
   x = 5,706.41