Finding the Fourth Proportional to 9,976.32, 13,767.17 and 5,727.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,976.32 : 13,767.17 = 5,727.47 : x
2. Step 2: Convert to fraction form
   9,976.32/13,767.17 = 5,727.47/x
3. Step 3: Cross multiply
   9,976.32x = 13,767.17 × 5,727.47
4. Step 4: Simplify right side
   9,976.32x = 78,850,955.69
5. Step 5: Solve for x
   x = 78,850,955.69/9,976.32
6. Step 6: Final answer
   x = 7,903.81