Finding the Fourth Proportional to 31,205.82, 46,809.34 and 14,561.33

Step by Step Solution

1. Step 1: Write the proportion equation
   31,205.82 : 46,809.34 = 14,561.33 : x
2. Step 2: Convert to fraction form
   31,205.82/46,809.34 = 14,561.33/x
3. Step 3: Cross multiply
   31,205.82x = 46,809.34 × 14,561.33
4. Step 4: Simplify right side
   31,205.82x = 681,606,246.82
5. Step 5: Solve for x
   x = 681,606,246.82/31,205.82
6. Step 6: Final answer
   x = 21,842.28