Finding the Fourth Proportional to 1,036.74, 1,430.71 and 564.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,036.74 : 1,430.71 = 564.62 : x
2. Step 2: Convert to fraction form
   1,036.74/1,430.71 = 564.62/x
3. Step 3: Cross multiply
   1,036.74x = 1,430.71 × 564.62
4. Step 4: Simplify right side
   1,036.74x = 807,809.65
5. Step 5: Solve for x
   x = 807,809.65/1,036.74
6. Step 6: Final answer
   x = 779.18