Finding the Fourth Proportional to 9,689.56, 14,539.56 and 3,846.22

Step by Step Solution

1. Step 1: Write the proportion equation
   9,689.56 : 14,539.56 = 3,846.22 : x
2. Step 2: Convert to fraction form
   9,689.56/14,539.56 = 3,846.22/x
3. Step 3: Cross multiply
   9,689.56x = 14,539.56 × 3,846.22
4. Step 4: Simplify right side
   9,689.56x = 55,922,346.46
5. Step 5: Solve for x
   x = 55,922,346.46/9,689.56
6. Step 6: Final answer
   x = 5,771.40