Finding the Fourth Proportional to 22,642, 31,248.84 and 12,706

Step by Step Solution

1. Step 1: Write the proportion equation
   22,642 : 31,248.84 = 12,706 : x
2. Step 2: Convert to fraction form
   22,642/31,248.84 = 12,706/x
3. Step 3: Cross multiply
   22,642x = 31,248.84 × 12,706
4. Step 4: Simplify right side
   22,642x = 397,047,761.04
5. Step 5: Solve for x
   x = 397,047,761.04/22,642
6. Step 6: Final answer
   x = 17,535.90