Finding the Fourth Proportional to 9,766.88, 13,478.20 and 5,290.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766.88 : 13,478.20 = 5,290.58 : x
2. Step 2: Convert to fraction form
   9,766.88/13,478.20 = 5,290.58/x
3. Step 3: Cross multiply
   9,766.88x = 13,478.20 × 5,290.58
4. Step 4: Simplify right side
   9,766.88x = 71,307,515.83
5. Step 5: Solve for x
   x = 71,307,515.83/9,766.88
6. Step 6: Final answer
   x = 7,300.95