Finding the Fourth Proportional to 1,689.21, 2,329.96 and 1,467.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,689.21 : 2,329.96 = 1,467.78 : x
2. Step 2: Convert to fraction form
   1,689.21/2,329.96 = 1,467.78/x
3. Step 3: Cross multiply
   1,689.21x = 2,329.96 × 1,467.78
4. Step 4: Simplify right side
   1,689.21x = 3,419,868.69
5. Step 5: Solve for x
   x = 3,419,868.69/1,689.21
6. Step 6: Final answer
   x = 2,024.54