Finding the Fourth Proportional to 9,766.86, 13,478.27 and 5,290.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766.86 : 13,478.27 = 5,290.58 : x
2. Step 2: Convert to fraction form
   9,766.86/13,478.27 = 5,290.58/x
3. Step 3: Cross multiply
   9,766.86x = 13,478.27 × 5,290.58
4. Step 4: Simplify right side
   9,766.86x = 71,307,771.85
5. Step 5: Solve for x
   x = 71,307,771.85/9,766.86
6. Step 6: Final answer
   x = 7,300.99