Finding the Fourth Proportional to 31,015.72, 46,523.61 and 7,642.16

Step by Step Solution

1. Step 1: Write the proportion equation
   31,015.72 : 46,523.61 = 7,642.16 : x
2. Step 2: Convert to fraction form
   31,015.72/46,523.61 = 7,642.16/x
3. Step 3: Cross multiply
   31,015.72x = 46,523.61 × 7,642.16
4. Step 4: Simplify right side
   31,015.72x = 355,540,833.19
5. Step 5: Solve for x
   x = 355,540,833.19/31,015.72
6. Step 6: Final answer
   x = 11,463.25