Finding the Fourth Proportional to 1,976.61, 2,964.89 and 806.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,976.61 : 2,964.89 = 806.57 : x
2. Step 2: Convert to fraction form
   1,976.61/2,964.89 = 806.57/x
3. Step 3: Cross multiply
   1,976.61x = 2,964.89 × 806.57
4. Step 4: Simplify right side
   1,976.61x = 2,391,372.47
5. Step 5: Solve for x
   x = 2,391,372.47/1,976.61
6. Step 6: Final answer
   x = 1,209.84