Finding the Fourth Proportional to 9,766.37, 13,477.77 and 5,290.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766.37 : 13,477.77 = 5,290.31 : x
2. Step 2: Convert to fraction form
   9,766.37/13,477.77 = 5,290.31/x
3. Step 3: Cross multiply
   9,766.37x = 13,477.77 × 5,290.31
4. Step 4: Simplify right side
   9,766.37x = 71,301,615.10
5. Step 5: Solve for x
   x = 71,301,615.10/9,766.37
6. Step 6: Final answer
   x = 7,300.73