Finding the Fourth Proportional to 31,215.75, 46,823.72 and 7,842.18

Step by Step Solution

1. Step 1: Write the proportion equation
   31,215.75 : 46,823.72 = 7,842.18 : x
2. Step 2: Convert to fraction form
   31,215.75/46,823.72 = 7,842.18/x
3. Step 3: Cross multiply
   31,215.75x = 46,823.72 × 7,842.18
4. Step 4: Simplify right side
   31,215.75x = 367,200,001.30
5. Step 5: Solve for x
   x = 367,200,001.30/31,215.75
6. Step 6: Final answer
   x = 11,763.29