Finding the Fourth Proportional to 9,766.71, 13,477.98 and 5,290.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766.71 : 13,477.98 = 5,290.35 : x
2. Step 2: Convert to fraction form
   9,766.71/13,477.98 = 5,290.35/x
3. Step 3: Cross multiply
   9,766.71x = 13,477.98 × 5,290.35
4. Step 4: Simplify right side
   9,766.71x = 71,303,231.49
5. Step 5: Solve for x
   x = 71,303,231.49/9,766.71
6. Step 6: Final answer
   x = 7,300.64