Finding the Fourth Proportional to 9,983.62, 13,777.47 and 5,507.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,983.62 : 13,777.47 = 5,507.50 : x
2. Step 2: Convert to fraction form
   9,983.62/13,777.47 = 5,507.50/x
3. Step 3: Cross multiply
   9,983.62x = 13,777.47 × 5,507.50
4. Step 4: Simplify right side
   9,983.62x = 75,879,416.03
5. Step 5: Solve for x
   x = 75,879,416.03/9,983.62
6. Step 6: Final answer
   x = 7,600.39