Finding the Fourth Proportional to 9,727.89, 13,426.89 and 5,538.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,727.89 : 13,426.89 = 5,538.57 : x
2. Step 2: Convert to fraction form
   9,727.89/13,426.89 = 5,538.57/x
3. Step 3: Cross multiply
   9,727.89x = 13,426.89 × 5,538.57
4. Step 4: Simplify right side
   9,727.89x = 74,365,770.15
5. Step 5: Solve for x
   x = 74,365,770.15/9,727.89
6. Step 6: Final answer
   x = 7,644.59