Finding the Fourth Proportional to 1,037.22, 1,431.33 and 565.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,037.22 : 1,431.33 = 565.12 : x
2. Step 2: Convert to fraction form
   1,037.22/1,431.33 = 565.12/x
3. Step 3: Cross multiply
   1,037.22x = 1,431.33 × 565.12
4. Step 4: Simplify right side
   1,037.22x = 808,870.38
5. Step 5: Solve for x
   x = 808,870.38/1,037.22
6. Step 6: Final answer
   x = 779.85