Finding the Fourth Proportional to 9,982.91, 13,776.18 and 5,506.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,982.91 : 13,776.18 = 5,506.58 : x
2. Step 2: Convert to fraction form
   9,982.91/13,776.18 = 5,506.58/x
3. Step 3: Cross multiply
   9,982.91x = 13,776.18 × 5,506.58
4. Step 4: Simplify right side
   9,982.91x = 75,859,568.38
5. Step 5: Solve for x
   x = 75,859,568.38/9,982.91
6. Step 6: Final answer
   x = 7,598.95