Finding the Fourth Proportional to 9,983.15, 13,776.63 and 5,506.79

Step by Step Solution

1. Step 1: Write the proportion equation
   9,983.15 : 13,776.63 = 5,506.79 : x
2. Step 2: Convert to fraction form
   9,983.15/13,776.63 = 5,506.79/x
3. Step 3: Cross multiply
   9,983.15x = 13,776.63 × 5,506.79
4. Step 4: Simplify right side
   9,983.15x = 75,864,949.76
5. Step 5: Solve for x
   x = 75,864,949.76/9,983.15
6. Step 6: Final answer
   x = 7,599.30