Finding the Fourth Proportional to 22,854.16, 31,538.59 and 12,782.55

Step by Step Solution

1. Step 1: Write the proportion equation
   22,854.16 : 31,538.59 = 12,782.55 : x
2. Step 2: Convert to fraction form
   22,854.16/31,538.59 = 12,782.55/x
3. Step 3: Cross multiply
   22,854.16x = 31,538.59 × 12,782.55
4. Step 4: Simplify right side
   22,854.16x = 403,143,603.60
5. Step 5: Solve for x
   x = 403,143,603.60/22,854.16
6. Step 6: Final answer
   x = 17,639.83