Finding the Fourth Proportional to 1,297.81, 1,944.89 and 565.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,297.81 : 1,944.89 = 565.86 : x
2. Step 2: Convert to fraction form
   1,297.81/1,944.89 = 565.86/x
3. Step 3: Cross multiply
   1,297.81x = 1,944.89 × 565.86
4. Step 4: Simplify right side
   1,297.81x = 1,100,535.46
5. Step 5: Solve for x
   x = 1,100,535.46/1,297.81
6. Step 6: Final answer
   x = 847.99