Finding the Fourth Proportional to 1,036.24, 1,429.98 and 564.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,036.24 : 1,429.98 = 564.12 : x
2. Step 2: Convert to fraction form
   1,036.24/1,429.98 = 564.12/x
3. Step 3: Cross multiply
   1,036.24x = 1,429.98 × 564.12
4. Step 4: Simplify right side
   1,036.24x = 806,680.32
5. Step 5: Solve for x
   x = 806,680.32/1,036.24
6. Step 6: Final answer
   x = 778.47