Finding the Fourth Proportional to 9,022.18, 12,442.54 and 5,665.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,022.18 : 12,442.54 = 5,665.30 : x
2. Step 2: Convert to fraction form
   9,022.18/12,442.54 = 5,665.30/x
3. Step 3: Cross multiply
   9,022.18x = 12,442.54 × 5,665.30
4. Step 4: Simplify right side
   9,022.18x = 70,490,721.86
5. Step 5: Solve for x
   x = 70,490,721.86/9,022.18
6. Step 6: Final answer
   x = 7,813.05