Finding the Fourth Proportional to 11,778.72, 17,596.88 and 7,584.54

Step by Step Solution

1. Step 1: Write the proportion equation
   11,778.72 : 17,596.88 = 7,584.54 : x
2. Step 2: Convert to fraction form
   11,778.72/17,596.88 = 7,584.54/x
3. Step 3: Cross multiply
   11,778.72x = 17,596.88 × 7,584.54
4. Step 4: Simplify right side
   11,778.72x = 133,464,202.31
5. Step 5: Solve for x
   x = 133,464,202.31/11,778.72
6. Step 6: Final answer
   x = 11,330.96