Finding the Fourth Proportional to 12,974.64, 17,906.52 and 7,386.48

Step by Step Solution

1. Step 1: Write the proportion equation
   12,974.64 : 17,906.52 = 7,386.48 : x
2. Step 2: Convert to fraction form
   12,974.64/17,906.52 = 7,386.48/x
3. Step 3: Cross multiply
   12,974.64x = 17,906.52 × 7,386.48
4. Step 4: Simplify right side
   12,974.64x = 132,266,151.85
5. Step 5: Solve for x
   x = 132,266,151.85/12,974.64
6. Step 6: Final answer
   x = 10,194.21