Finding the Fourth Proportional to 7,882.58, 10,882.42 and 5,233.62

Step by Step Solution

1. Step 1: Write the proportion equation
   7,882.58 : 10,882.42 = 5,233.62 : x
2. Step 2: Convert to fraction form
   7,882.58/10,882.42 = 5,233.62/x
3. Step 3: Cross multiply
   7,882.58x = 10,882.42 × 5,233.62
4. Step 4: Simplify right side
   7,882.58x = 56,954,450.96
5. Step 5: Solve for x
   x = 56,954,450.96/7,882.58
6. Step 6: Final answer
   x = 7,225.36