Finding the Fourth Proportional to 9,983.66, 13,776.86 and 5,507.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,983.66 : 13,776.86 = 5,507.42 : x
2. Step 2: Convert to fraction form
   9,983.66/13,776.86 = 5,507.42/x
3. Step 3: Cross multiply
   9,983.66x = 13,776.86 × 5,507.42
4. Step 4: Simplify right side
   9,983.66x = 75,874,954.30
5. Step 5: Solve for x
   x = 75,874,954.30/9,983.66
6. Step 6: Final answer
   x = 7,599.91