Finding the Fourth Proportional to 9,823.56, 13,556.88 and 5,631

Step by Step Solution

1. Step 1: Write the proportion equation
   9,823.56 : 13,556.88 = 5,631 : x
2. Step 2: Convert to fraction form
   9,823.56/13,556.88 = 5,631/x
3. Step 3: Cross multiply
   9,823.56x = 13,556.88 × 5,631
4. Step 4: Simplify right side
   9,823.56x = 76,338,791.28
5. Step 5: Solve for x
   x = 76,338,791.28/9,823.56
6. Step 6: Final answer
   x = 7,770.99