Finding the Fourth Proportional to 9,982.63, 13,775.40 and 5,506.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,982.63 : 13,775.40 = 5,506.42 : x
2. Step 2: Convert to fraction form
   9,982.63/13,775.40 = 5,506.42/x
3. Step 3: Cross multiply
   9,982.63x = 13,775.40 × 5,506.42
4. Step 4: Simplify right side
   9,982.63x = 75,853,138.07
5. Step 5: Solve for x
   x = 75,853,138.07/9,982.63
6. Step 6: Final answer
   x = 7,598.51