Finding the Fourth Proportional to 22,078, 30,467.64 and 12,142

Step by Step Solution

1. Step 1: Write the proportion equation
   22,078 : 30,467.64 = 12,142 : x
2. Step 2: Convert to fraction form
   22,078/30,467.64 = 12,142/x
3. Step 3: Cross multiply
   22,078x = 30,467.64 × 12,142
4. Step 4: Simplify right side
   22,078x = 369,938,084.88
5. Step 5: Solve for x
   x = 369,938,084.88/22,078
6. Step 6: Final answer
   x = 16,755.96