Finding the Fourth Proportional to 1,565.69, 2,347.25 and 687.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,565.69 : 2,347.25 = 687.56 : x
2. Step 2: Convert to fraction form
   1,565.69/2,347.25 = 687.56/x
3. Step 3: Cross multiply
   1,565.69x = 2,347.25 × 687.56
4. Step 4: Simplify right side
   1,565.69x = 1,613,860.04
5. Step 5: Solve for x
   x = 1,613,860.04/1,565.69
6. Step 6: Final answer
   x = 1,030.77