Finding the Fourth Proportional to 9,766.43, 13,477.50 and 5,290.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766.43 : 13,477.50 = 5,290.14 : x
2. Step 2: Convert to fraction form
   9,766.43/13,477.50 = 5,290.14/x
3. Step 3: Cross multiply
   9,766.43x = 13,477.50 × 5,290.14
4. Step 4: Simplify right side
   9,766.43x = 71,297,861.85
5. Step 5: Solve for x
   x = 71,297,861.85/9,766.43
6. Step 6: Final answer
   x = 7,300.30