Finding the Fourth Proportional to 9,882.00, 13,638.46 and 5,634.59

Step by Step Solution

1. Step 1: Write the proportion equation
   9,882.00 : 13,638.46 = 5,634.59 : x
2. Step 2: Convert to fraction form
   9,882.00/13,638.46 = 5,634.59/x
3. Step 3: Cross multiply
   9,882.00x = 13,638.46 × 5,634.59
4. Step 4: Simplify right side
   9,882.00x = 76,847,130.33
5. Step 5: Solve for x
   x = 76,847,130.33/9,882.00
6. Step 6: Final answer
   x = 7,776.48