Finding the Fourth Proportional to 31,116.28, 46,674.30 and 7,742.72

Step by Step Solution

1. Step 1: Write the proportion equation
   31,116.28 : 46,674.30 = 7,742.72 : x
2. Step 2: Convert to fraction form
   31,116.28/46,674.30 = 7,742.72/x
3. Step 3: Cross multiply
   31,116.28x = 46,674.30 × 7,742.72
4. Step 4: Simplify right side
   31,116.28x = 361,386,036.10
5. Step 5: Solve for x
   x = 361,386,036.10/31,116.28
6. Step 6: Final answer
   x = 11,614.05