Finding the Fourth Proportional to 8,185.76, 11,282.86 and 5,792.64

Step by Step Solution

1. Step 1: Write the proportion equation
   8,185.76 : 11,282.86 = 5,792.64 : x
2. Step 2: Convert to fraction form
   8,185.76/11,282.86 = 5,792.64/x
3. Step 3: Cross multiply
   8,185.76x = 11,282.86 × 5,792.64
4. Step 4: Simplify right side
   8,185.76x = 65,357,546.15
5. Step 5: Solve for x
   x = 65,357,546.15/8,185.76
6. Step 6: Final answer
   x = 7,984.30