Finding the Fourth Proportional to 31,015.98, 46,523.34 and 7,642.62

Step by Step Solution

1. Step 1: Write the proportion equation
   31,015.98 : 46,523.34 = 7,642.62 : x
2. Step 2: Convert to fraction form
   31,015.98/46,523.34 = 7,642.62/x
3. Step 3: Cross multiply
   31,015.98x = 46,523.34 × 7,642.62
4. Step 4: Simplify right side
   31,015.98x = 355,560,208.75
5. Step 5: Solve for x
   x = 355,560,208.75/31,015.98
6. Step 6: Final answer
   x = 11,463.77