Finding the Fourth Proportional to 1,031.09, 1,422.86 and 565.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,031.09 : 1,422.86 = 565.34 : x
2. Step 2: Convert to fraction form
   1,031.09/1,422.86 = 565.34/x
3. Step 3: Cross multiply
   1,031.09x = 1,422.86 × 565.34
4. Step 4: Simplify right side
   1,031.09x = 804,389.73
5. Step 5: Solve for x
   x = 804,389.73/1,031.09
6. Step 6: Final answer
   x = 780.14