Finding the Fourth Proportional to 9,770.09, 13,481.91 and 5,736.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,770.09 : 13,481.91 = 5,736.50 : x
2. Step 2: Convert to fraction form
   9,770.09/13,481.91 = 5,736.50/x
3. Step 3: Cross multiply
   9,770.09x = 13,481.91 × 5,736.50
4. Step 4: Simplify right side
   9,770.09x = 77,338,909.31
5. Step 5: Solve for x
   x = 77,338,909.31/9,770.09
6. Step 6: Final answer
   x = 7,915.88