Finding the Fourth Proportional to 1,031.56, 1,423.50 and 565.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,031.56 : 1,423.50 = 565.72 : x
2. Step 2: Convert to fraction form
   1,031.56/1,423.50 = 565.72/x
3. Step 3: Cross multiply
   1,031.56x = 1,423.50 × 565.72
4. Step 4: Simplify right side
   1,031.56x = 805,302.42
5. Step 5: Solve for x
   x = 805,302.42/1,031.56
6. Step 6: Final answer
   x = 780.66