Finding the Fourth Proportional to 9,983.19, 13,776.71 and 5,506.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,983.19 : 13,776.71 = 5,506.98 : x
2. Step 2: Convert to fraction form
   9,983.19/13,776.71 = 5,506.98/x
3. Step 3: Cross multiply
   9,983.19x = 13,776.71 × 5,506.98
4. Step 4: Simplify right side
   9,983.19x = 75,867,997.55
5. Step 5: Solve for x
   x = 75,867,997.55/9,983.19
6. Step 6: Final answer
   x = 7,599.57