Finding the Fourth Proportional to 9,655.37, 13,324.26 and 5,406.41

Step by Step Solution

1. Step 1: Write the proportion equation
   9,655.37 : 13,324.26 = 5,406.41 : x
2. Step 2: Convert to fraction form
   9,655.37/13,324.26 = 5,406.41/x
3. Step 3: Cross multiply
   9,655.37x = 13,324.26 × 5,406.41
4. Step 4: Simplify right side
   9,655.37x = 72,036,345.89
5. Step 5: Solve for x
   x = 72,036,345.89/9,655.37
6. Step 6: Final answer
   x = 7,460.76