Finding the Fourth Proportional to 1,007.96, 1,390.82 and 565.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.96 : 1,390.82 = 565.83 : x
2. Step 2: Convert to fraction form
   1,007.96/1,390.82 = 565.83/x
3. Step 3: Cross multiply
   1,007.96x = 1,390.82 × 565.83
4. Step 4: Simplify right side
   1,007.96x = 786,964.85
5. Step 5: Solve for x
   x = 786,964.85/1,007.96
6. Step 6: Final answer
   x = 780.75