Finding the Fourth Proportional to 9,646.24, 13,311.84 and 5,454.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,646.24 : 13,311.84 = 5,454.40 : x
2. Step 2: Convert to fraction form
   9,646.24/13,311.84 = 5,454.40/x
3. Step 3: Cross multiply
   9,646.24x = 13,311.84 × 5,454.40
4. Step 4: Simplify right side
   9,646.24x = 72,608,100.10
5. Step 5: Solve for x
   x = 72,608,100.10/9,646.24
6. Step 6: Final answer
   x = 7,527.09