Finding the Fourth Proportional to 1,031.69, 1,423.73 and 565.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,031.69 : 1,423.73 = 565.94 : x
2. Step 2: Convert to fraction form
   1,031.69/1,423.73 = 565.94/x
3. Step 3: Cross multiply
   1,031.69x = 1,423.73 × 565.94
4. Step 4: Simplify right side
   1,031.69x = 805,745.76
5. Step 5: Solve for x
   x = 805,745.76/1,031.69
6. Step 6: Final answer
   x = 781.00