Finding the Fourth Proportional to 9,976.89, 13,767.96 and 5,727.87

Step by Step Solution

1. Step 1: Write the proportion equation
   9,976.89 : 13,767.96 = 5,727.87 : x
2. Step 2: Convert to fraction form
   9,976.89/13,767.96 = 5,727.87/x
3. Step 3: Cross multiply
   9,976.89x = 13,767.96 × 5,727.87
4. Step 4: Simplify right side
   9,976.89x = 78,861,085.05
5. Step 5: Solve for x
   x = 78,861,085.05/9,976.89
6. Step 6: Final answer
   x = 7,904.38