Finding the Fourth Proportional to 9,983.08, 13,777.02 and 5,507

Step by Step Solution

1. Step 1: Write the proportion equation
   9,983.08 : 13,777.02 = 5,507 : x
2. Step 2: Convert to fraction form
   9,983.08/13,777.02 = 5,507/x
3. Step 3: Cross multiply
   9,983.08x = 13,777.02 × 5,507
4. Step 4: Simplify right side
   9,983.08x = 75,870,049.14
5. Step 5: Solve for x
   x = 75,870,049.14/9,983.08
6. Step 6: Final answer
   x = 7,599.86