Finding the Fourth Proportional to 7,282.89, 10,928.25 and 5,642.64

Step by Step Solution

1. Step 1: Write the proportion equation
   7,282.89 : 10,928.25 = 5,642.64 : x
2. Step 2: Convert to fraction form
   7,282.89/10,928.25 = 5,642.64/x
3. Step 3: Cross multiply
   7,282.89x = 10,928.25 × 5,642.64
4. Step 4: Simplify right side
   7,282.89x = 61,664,180.58
5. Step 5: Solve for x
   x = 61,664,180.58/7,282.89
6. Step 6: Final answer
   x = 8,466.99