Finding the Fourth Proportional to 1,031.34, 1,423.20 and 565.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,031.34 : 1,423.20 = 565.59 : x
2. Step 2: Convert to fraction form
   1,031.34/1,423.20 = 565.59/x
3. Step 3: Cross multiply
   1,031.34x = 1,423.20 × 565.59
4. Step 4: Simplify right side
   1,031.34x = 804,940.57
5. Step 5: Solve for x
   x = 804,940.57/1,031.34
6. Step 6: Final answer
   x = 780.48