Finding the Fourth Proportional to 2,513.60, 3,769.68 and 974.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,513.60 : 3,769.68 = 974.24 : x
2. Step 2: Convert to fraction form
   2,513.60/3,769.68 = 974.24/x
3. Step 3: Cross multiply
   2,513.60x = 3,769.68 × 974.24
4. Step 4: Simplify right side
   2,513.60x = 3,672,573.04
5. Step 5: Solve for x
   x = 3,672,573.04/2,513.60
6. Step 6: Final answer
   x = 1,461.08