Finding the Fourth Proportional to 1,036.71, 1,430.69 and 564.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,036.71 : 1,430.69 = 564.63 : x
2. Step 2: Convert to fraction form
   1,036.71/1,430.69 = 564.63/x
3. Step 3: Cross multiply
   1,036.71x = 1,430.69 × 564.63
4. Step 4: Simplify right side
   1,036.71x = 807,800.52
5. Step 5: Solve for x
   x = 807,800.52/1,036.71
6. Step 6: Final answer
   x = 779.20