Finding the Fourth Proportional to 9,644.74, 13,309.52 and 5,395.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,644.74 : 13,309.52 = 5,395.86 : x
2. Step 2: Convert to fraction form
   9,644.74/13,309.52 = 5,395.86/x
3. Step 3: Cross multiply
   9,644.74x = 13,309.52 × 5,395.86
4. Step 4: Simplify right side
   9,644.74x = 71,816,306.59
5. Step 5: Solve for x
   x = 71,816,306.59/9,644.74
6. Step 6: Final answer
   x = 7,446.16