Finding the Fourth Proportional to 23,175, 31,981.53 and 12,564.63

Step by Step Solution

1. Step 1: Write the proportion equation
   23,175 : 31,981.53 = 12,564.63 : x
2. Step 2: Convert to fraction form
   23,175/31,981.53 = 12,564.63/x
3. Step 3: Cross multiply
   23,175x = 31,981.53 × 12,564.63
4. Step 4: Simplify right side
   23,175x = 401,836,091.28
5. Step 5: Solve for x
   x = 401,836,091.28/23,175
6. Step 6: Final answer
   x = 17,339.21