Finding the Fourth Proportional to 1,022.69, 1,411.89 and 649.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.69 : 1,411.89 = 649.98 : x
2. Step 2: Convert to fraction form
   1,022.69/1,411.89 = 649.98/x
3. Step 3: Cross multiply
   1,022.69x = 1,411.89 × 649.98
4. Step 4: Simplify right side
   1,022.69x = 917,700.26
5. Step 5: Solve for x
   x = 917,700.26/1,022.69
6. Step 6: Final answer
   x = 897.34