Finding the Fourth Proportional to 1,663.65, 2,495.57 and 689.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,663.65 : 2,495.57 = 689.82 : x
2. Step 2: Convert to fraction form
   1,663.65/2,495.57 = 689.82/x
3. Step 3: Cross multiply
   1,663.65x = 2,495.57 × 689.82
4. Step 4: Simplify right side
   1,663.65x = 1,721,494.10
5. Step 5: Solve for x
   x = 1,721,494.10/1,663.65
6. Step 6: Final answer
   x = 1,034.77