Finding the Fourth Proportional to 9,766.71, 13,480.22 and 5,735.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766.71 : 13,480.22 = 5,735.34 : x
2. Step 2: Convert to fraction form
   9,766.71/13,480.22 = 5,735.34/x
3. Step 3: Cross multiply
   9,766.71x = 13,480.22 × 5,735.34
4. Step 4: Simplify right side
   9,766.71x = 77,313,659.31
5. Step 5: Solve for x
   x = 77,313,659.31/9,766.71
6. Step 6: Final answer
   x = 7,916.04