Finding the Fourth Proportional to 22,656.42, 31,266.72 and 12,584.16

Step by Step Solution

1. Step 1: Write the proportion equation
   22,656.42 : 31,266.72 = 12,584.16 : x
2. Step 2: Convert to fraction form
   22,656.42/31,266.72 = 12,584.16/x
3. Step 3: Cross multiply
   22,656.42x = 31,266.72 × 12,584.16
4. Step 4: Simplify right side
   22,656.42x = 393,465,407.16
5. Step 5: Solve for x
   x = 393,465,407.16/22,656.42
6. Step 6: Final answer
   x = 17,366.62