Finding the Fourth Proportional to 9,022.62, 12,443.14 and 5,665.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,022.62 : 12,443.14 = 5,665.74 : x
2. Step 2: Convert to fraction form
   9,022.62/12,443.14 = 5,665.74/x
3. Step 3: Cross multiply
   9,022.62x = 12,443.14 × 5,665.74
4. Step 4: Simplify right side
   9,022.62x = 70,499,596.02
5. Step 5: Solve for x
   x = 70,499,596.02/9,022.62
6. Step 6: Final answer
   x = 7,813.65