Finding the Fourth Proportional to 1,031.58, 1,423.56 and 565.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,031.58 : 1,423.56 = 565.82 : x
2. Step 2: Convert to fraction form
   1,031.58/1,423.56 = 565.82/x
3. Step 3: Cross multiply
   1,031.58x = 1,423.56 × 565.82
4. Step 4: Simplify right side
   1,031.58x = 805,478.72
5. Step 5: Solve for x
   x = 805,478.72/1,031.58
6. Step 6: Final answer
   x = 780.82