Finding the Fourth Proportional to 31,214.38, 46,814.59 and 9,022.82

Step by Step Solution

1. Step 1: Write the proportion equation
   31,214.38 : 46,814.59 = 9,022.82 : x
2. Step 2: Convert to fraction form
   31,214.38/46,814.59 = 9,022.82/x
3. Step 3: Cross multiply
   31,214.38x = 46,814.59 × 9,022.82
4. Step 4: Simplify right side
   31,214.38x = 422,399,618.94
5. Step 5: Solve for x
   x = 422,399,618.94/31,214.38
6. Step 6: Final answer
   x = 13,532.21