Finding the Fourth Proportional to 10,742.64, 14,831.31 and 7,023.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,742.64 : 14,831.31 = 7,023.12 : x
2. Step 2: Convert to fraction form
   10,742.64/14,831.31 = 7,023.12/x
3. Step 3: Cross multiply
   10,742.64x = 14,831.31 × 7,023.12
4. Step 4: Simplify right side
   10,742.64x = 104,162,069.89
5. Step 5: Solve for x
   x = 104,162,069.89/10,742.64
6. Step 6: Final answer
   x = 9,696.13