Finding the Fourth Proportional to 9,976.66, 13,767.16 and 5,500.17

Step by Step Solution

1. Step 1: Write the proportion equation
   9,976.66 : 13,767.16 = 5,500.17 : x
2. Step 2: Convert to fraction form
   9,976.66/13,767.16 = 5,500.17/x
3. Step 3: Cross multiply
   9,976.66x = 13,767.16 × 5,500.17
4. Step 4: Simplify right side
   9,976.66x = 75,721,720.42
5. Step 5: Solve for x
   x = 75,721,720.42/9,976.66
6. Step 6: Final answer
   x = 7,589.89