Finding the Fourth Proportional to 9,766.82, 13,478.21 and 5,290.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766.82 : 13,478.21 = 5,290.60 : x
2. Step 2: Convert to fraction form
   9,766.82/13,478.21 = 5,290.60/x
3. Step 3: Cross multiply
   9,766.82x = 13,478.21 × 5,290.60
4. Step 4: Simplify right side
   9,766.82x = 71,307,817.83
5. Step 5: Solve for x
   x = 71,307,817.83/9,766.82
6. Step 6: Final answer
   x = 7,301.03