Finding the Fourth Proportional to 9,827.82, 13,562.69 and 5,636.07

Step by Step Solution

1. Step 1: Write the proportion equation
   9,827.82 : 13,562.69 = 5,636.07 : x
2. Step 2: Convert to fraction form
   9,827.82/13,562.69 = 5,636.07/x
3. Step 3: Cross multiply
   9,827.82x = 13,562.69 × 5,636.07
4. Step 4: Simplify right side
   9,827.82x = 76,440,242.05
5. Step 5: Solve for x
   x = 76,440,242.05/9,827.82
6. Step 6: Final answer
   x = 7,777.94