Finding the Fourth Proportional to 2,513.12, 3,769.92 and 974.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,513.12 : 3,769.92 = 974.24 : x
2. Step 2: Convert to fraction form
   2,513.12/3,769.92 = 974.24/x
3. Step 3: Cross multiply
   2,513.12x = 3,769.92 × 974.24
4. Step 4: Simplify right side
   2,513.12x = 3,672,806.86
5. Step 5: Solve for x
   x = 3,672,806.86/2,513.12
6. Step 6: Final answer
   x = 1,461.45