Finding the Fourth Proportional to 9,982.30, 13,775.69 and 5,506.21

Step by Step Solution

1. Step 1: Write the proportion equation
   9,982.30 : 13,775.69 = 5,506.21 : x
2. Step 2: Convert to fraction form
   9,982.30/13,775.69 = 5,506.21/x
3. Step 3: Cross multiply
   9,982.30x = 13,775.69 × 5,506.21
4. Step 4: Simplify right side
   9,982.30x = 75,851,814.50
5. Step 5: Solve for x
   x = 75,851,814.50/9,982.30
6. Step 6: Final answer
   x = 7,598.63