Finding the Fourth Proportional to 9,983.61, 13,777.49 and 5,507.33

Step by Step Solution

1. Step 1: Write the proportion equation
   9,983.61 : 13,777.49 = 5,507.33 : x
2. Step 2: Convert to fraction form
   9,983.61/13,777.49 = 5,507.33/x
3. Step 3: Cross multiply
   9,983.61x = 13,777.49 × 5,507.33
4. Step 4: Simplify right side
   9,983.61x = 75,877,128.88
5. Step 5: Solve for x
   x = 75,877,128.88/9,983.61
6. Step 6: Final answer
   x = 7,600.17