Finding the Fourth Proportional to 13,023, 17,974.17 and 7,434

Step by Step Solution

1. Step 1: Write the proportion equation
   13,023 : 17,974.17 = 7,434 : x
2. Step 2: Convert to fraction form
   13,023/17,974.17 = 7,434/x
3. Step 3: Cross multiply
   13,023x = 17,974.17 × 7,434
4. Step 4: Simplify right side
   13,023x = 133,619,979.78
5. Step 5: Solve for x
   x = 133,619,979.78/13,023
6. Step 6: Final answer
   x = 10,260.31