Finding the Fourth Proportional to 9,882.15, 13,636.40 and 5,632.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,882.15 : 13,636.40 = 5,632.88 : x
2. Step 2: Convert to fraction form
   9,882.15/13,636.40 = 5,632.88/x
3. Step 3: Cross multiply
   9,882.15x = 13,636.40 × 5,632.88
4. Step 4: Simplify right side
   9,882.15x = 76,812,140.17
5. Step 5: Solve for x
   x = 76,812,140.17/9,882.15
6. Step 6: Final answer
   x = 7,772.82