Finding the Fourth Proportional to 9,688.56, 14,538.06 and 3,845.22

Step by Step Solution

1. Step 1: Write the proportion equation
   9,688.56 : 14,538.06 = 3,845.22 : x
2. Step 2: Convert to fraction form
   9,688.56/14,538.06 = 3,845.22/x
3. Step 3: Cross multiply
   9,688.56x = 14,538.06 × 3,845.22
4. Step 4: Simplify right side
   9,688.56x = 55,902,039.07
5. Step 5: Solve for x
   x = 55,902,039.07/9,688.56
6. Step 6: Final answer
   x = 5,769.90