Finding the Fourth Proportional to 31,145.51, 46,722.89 and 10,078.49

Step by Step Solution

1. Step 1: Write the proportion equation
   31,145.51 : 46,722.89 = 10,078.49 : x
2. Step 2: Convert to fraction form
   31,145.51/46,722.89 = 10,078.49/x
3. Step 3: Cross multiply
   31,145.51x = 46,722.89 × 10,078.49
4. Step 4: Simplify right side
   31,145.51x = 470,896,321.64
5. Step 5: Solve for x
   x = 470,896,321.64/31,145.51
6. Step 6: Final answer
   x = 15,119.23