Finding the Fourth Proportional to 22,758, 31,406.04 and 12,822

Step by Step Solution

1. Step 1: Write the proportion equation
   22,758 : 31,406.04 = 12,822 : x
2. Step 2: Convert to fraction form
   22,758/31,406.04 = 12,822/x
3. Step 3: Cross multiply
   22,758x = 31,406.04 × 12,822
4. Step 4: Simplify right side
   22,758x = 402,688,244.88
5. Step 5: Solve for x
   x = 402,688,244.88/22,758
6. Step 6: Final answer
   x = 17,694.36