Finding the Fourth Proportional to 1,030.96, 1,422.72 and 565.21

Step by Step Solution

1. Step 1: Write the proportion equation
   1,030.96 : 1,422.72 = 565.21 : x
2. Step 2: Convert to fraction form
   1,030.96/1,422.72 = 565.21/x
3. Step 3: Cross multiply
   1,030.96x = 1,422.72 × 565.21
4. Step 4: Simplify right side
   1,030.96x = 804,135.57
5. Step 5: Solve for x
   x = 804,135.57/1,030.96
6. Step 6: Final answer
   x = 779.99