Finding the Fourth Proportional to 23,032.57, 31,784.46 and 12,823.47

Step by Step Solution

1. Step 1: Write the proportion equation
   23,032.57 : 31,784.46 = 12,823.47 : x
2. Step 2: Convert to fraction form
   23,032.57/31,784.46 = 12,823.47/x
3. Step 3: Cross multiply
   23,032.57x = 31,784.46 × 12,823.47
4. Step 4: Simplify right side
   23,032.57x = 407,587,069.28
5. Step 5: Solve for x
   x = 407,587,069.28/23,032.57
6. Step 6: Final answer
   x = 17,696.12