Finding the Fourth Proportional to 9,766.40, 13,477.67 and 5,290.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766.40 : 13,477.67 = 5,290.14 : x
2. Step 2: Convert to fraction form
   9,766.40/13,477.67 = 5,290.14/x
3. Step 3: Cross multiply
   9,766.40x = 13,477.67 × 5,290.14
4. Step 4: Simplify right side
   9,766.40x = 71,298,761.17
5. Step 5: Solve for x
   x = 71,298,761.17/9,766.40
6. Step 6: Final answer
   x = 7,300.41