Finding the Fourth Proportional to 1,949.82, 2,924.69 and 563.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,949.82 : 2,924.69 = 563.10 : x
2. Step 2: Convert to fraction form
   1,949.82/2,924.69 = 563.10/x
3. Step 3: Cross multiply
   1,949.82x = 2,924.69 × 563.10
4. Step 4: Simplify right side
   1,949.82x = 1,646,894.35
5. Step 5: Solve for x
   x = 1,646,894.35/1,949.82
6. Step 6: Final answer
   x = 844.64