Finding the Fourth Proportional to 23,174, 31,980.12 and 13,238

Step by Step Solution

1. Step 1: Write the proportion equation
   23,174 : 31,980.12 = 13,238 : x
2. Step 2: Convert to fraction form
   23,174/31,980.12 = 13,238/x
3. Step 3: Cross multiply
   23,174x = 31,980.12 × 13,238
4. Step 4: Simplify right side
   23,174x = 423,352,828.56
5. Step 5: Solve for x
   x = 423,352,828.56/23,174
6. Step 6: Final answer
   x = 18,268.44