Finding the Fourth Proportional to 12,974, 17,904.14 and 7,385

Step by Step Solution

1. Step 1: Write the proportion equation
   12,974 : 17,904.14 = 7,385 : x
2. Step 2: Convert to fraction form
   12,974/17,904.14 = 7,385/x
3. Step 3: Cross multiply
   12,974x = 17,904.14 × 7,385
4. Step 4: Simplify right side
   12,974x = 132,222,073.90
5. Step 5: Solve for x
   x = 132,222,073.90/12,974
6. Step 6: Final answer
   x = 10,191.31