Finding the Fourth Proportional to 1,036.42, 1,430.28 and 564.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,036.42 : 1,430.28 = 564.34 : x
2. Step 2: Convert to fraction form
   1,036.42/1,430.28 = 564.34/x
3. Step 3: Cross multiply
   1,036.42x = 1,430.28 × 564.34
4. Step 4: Simplify right side
   1,036.42x = 807,164.22
5. Step 5: Solve for x
   x = 807,164.22/1,036.42
6. Step 6: Final answer
   x = 778.80