Finding the Fourth Proportional to 9,982.54, 13,775.43 and 5,730.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,982.54 : 13,775.43 = 5,730.63 : x
2. Step 2: Convert to fraction form
   9,982.54/13,775.43 = 5,730.63/x
3. Step 3: Cross multiply
   9,982.54x = 13,775.43 × 5,730.63
4. Step 4: Simplify right side
   9,982.54x = 78,941,892.42
5. Step 5: Solve for x
   x = 78,941,892.42/9,982.54
6. Step 6: Final answer
   x = 7,908.00