Finding the Fourth Proportional to 9,765.50, 13,478.82 and 5,576.18

Step by Step Solution

1. Step 1: Write the proportion equation
   9,765.50 : 13,478.82 = 5,576.18 : x
2. Step 2: Convert to fraction form
   9,765.50/13,478.82 = 5,576.18/x
3. Step 3: Cross multiply
   9,765.50x = 13,478.82 × 5,576.18
4. Step 4: Simplify right side
   9,765.50x = 75,160,326.51
5. Step 5: Solve for x
   x = 75,160,326.51/9,765.50
6. Step 6: Final answer
   x = 7,696.52