Finding the Fourth Proportional to 9,584.76, 13,228.20 and 5,393.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,584.76 : 13,228.20 = 5,393.82 : x
2. Step 2: Convert to fraction form
   9,584.76/13,228.20 = 5,393.82/x
3. Step 3: Cross multiply
   9,584.76x = 13,228.20 × 5,393.82
4. Step 4: Simplify right side
   9,584.76x = 71,350,529.72
5. Step 5: Solve for x
   x = 71,350,529.72/9,584.76
6. Step 6: Final answer
   x = 7,444.16