Finding the Fourth Proportional to 1,031.60, 1,423.52 and 565.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,031.60 : 1,423.52 = 565.86 : x
2. Step 2: Convert to fraction form
   1,031.60/1,423.52 = 565.86/x
3. Step 3: Cross multiply
   1,031.60x = 1,423.52 × 565.86
4. Step 4: Simplify right side
   1,031.60x = 805,513.03
5. Step 5: Solve for x
   x = 805,513.03/1,031.60
6. Step 6: Final answer
   x = 780.84