Finding the Fourth Proportional to 1,636.74, 2,258.76 and 974.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,636.74 : 2,258.76 = 974.10 : x
2. Step 2: Convert to fraction form
   1,636.74/2,258.76 = 974.10/x
3. Step 3: Cross multiply
   1,636.74x = 2,258.76 × 974.10
4. Step 4: Simplify right side
   1,636.74x = 2,200,258.12
5. Step 5: Solve for x
   x = 2,200,258.12/1,636.74
6. Step 6: Final answer
   x = 1,344.29