Finding the Fourth Proportional to 9,766.44, 13,478.81 and 5,788.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766.44 : 13,478.81 = 5,788.94 : x
2. Step 2: Convert to fraction form
   9,766.44/13,478.81 = 5,788.94/x
3. Step 3: Cross multiply
   9,766.44x = 13,478.81 × 5,788.94
4. Step 4: Simplify right side
   9,766.44x = 78,027,926.02
5. Step 5: Solve for x
   x = 78,027,926.02/9,766.44
6. Step 6: Final answer
   x = 7,989.39