Finding the Fourth Proportional to 9,655.16, 13,321.01 and 5,405.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,655.16 : 13,321.01 = 5,405.60 : x
2. Step 2: Convert to fraction form
   9,655.16/13,321.01 = 5,405.60/x
3. Step 3: Cross multiply
   9,655.16x = 13,321.01 × 5,405.60
4. Step 4: Simplify right side
   9,655.16x = 72,007,958.02
5. Step 5: Solve for x
   x = 72,007,958.02/9,655.16
6. Step 6: Final answer
   x = 7,457.98