Finding the Fourth Proportional to 1,012.09, 1,396.59 and 569.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,012.09 : 1,396.59 = 569.98 : x
2. Step 2: Convert to fraction form
   1,012.09/1,396.59 = 569.98/x
3. Step 3: Cross multiply
   1,012.09x = 1,396.59 × 569.98
4. Step 4: Simplify right side
   1,012.09x = 796,028.37
5. Step 5: Solve for x
   x = 796,028.37/1,012.09
6. Step 6: Final answer
   x = 786.52