Finding the Fourth Proportional to 9,442.54, 13,028.37 and 5,665.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,442.54 : 13,028.37 = 5,665.96 : x
2. Step 2: Convert to fraction form
   9,442.54/13,028.37 = 5,665.96/x
3. Step 3: Cross multiply
   9,442.54x = 13,028.37 × 5,665.96
4. Step 4: Simplify right side
   9,442.54x = 73,818,223.29
5. Step 5: Solve for x
   x = 73,818,223.29/9,442.54
6. Step 6: Final answer
   x = 7,817.62