Finding the Fourth Proportional to 974.72, 1,464.89 and 811.22

Step by Step Solution

1. Step 1: Write the proportion equation
   974.72 : 1,464.89 = 811.22 : x
2. Step 2: Convert to fraction form
   974.72/1,464.89 = 811.22/x
3. Step 3: Cross multiply
   974.72x = 1,464.89 × 811.22
4. Step 4: Simplify right side
   974.72x = 1,188,336.69
5. Step 5: Solve for x
   x = 1,188,336.69/974.72
6. Step 6: Final answer
   x = 1,219.15