Finding the Fourth Proportional to 9,976.16, 13,766.16 and 5,783.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,976.16 : 13,766.16 = 5,783.84 : x
2. Step 2: Convert to fraction form
   9,976.16/13,766.16 = 5,783.84/x
3. Step 3: Cross multiply
   9,976.16x = 13,766.16 × 5,783.84
4. Step 4: Simplify right side
   9,976.16x = 79,621,266.85
5. Step 5: Solve for x
   x = 79,621,266.85/9,976.16
6. Step 6: Final answer
   x = 7,981.15