Finding the Fourth Proportional to 9,729.05, 13,426.76 and 5,537.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,729.05 : 13,426.76 = 5,537.30 : x
2. Step 2: Convert to fraction form
   9,729.05/13,426.76 = 5,537.30/x
3. Step 3: Cross multiply
   9,729.05x = 13,426.76 × 5,537.30
4. Step 4: Simplify right side
   9,729.05x = 74,347,944.86
5. Step 5: Solve for x
   x = 74,347,944.86/9,729.05
6. Step 6: Final answer
   x = 7,641.85