Finding the Fourth Proportional to 9,882.50, 13,639.15 and 5,635.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,882.50 : 13,639.15 = 5,635.09 : x
2. Step 2: Convert to fraction form
   9,882.50/13,639.15 = 5,635.09/x
3. Step 3: Cross multiply
   9,882.50x = 13,639.15 × 5,635.09
4. Step 4: Simplify right side
   9,882.50x = 76,857,837.77
5. Step 5: Solve for x
   x = 76,857,837.77/9,882.50
6. Step 6: Final answer
   x = 7,777.17